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Finding the Fourth Proportional to 11,696,993.10, 17,545,538.85 and 7,678,905.48

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Solution

The fourth proportional to 11,696,993.10, 17,545,538.85 and 7,678,905.48 is: 11,518,390.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696,993.10 : 17,545,538.85 = 7,678,905.48 : x
  2. Step 2: Convert to fraction form
    11,696,993.10/17,545,538.85 = 7,678,905.48/x
  3. Step 3: Cross multiply
    11,696,993.10x = 17,545,538.85 × 7,678,905.48
  4. Step 4: Simplify right side
    11,696,993.10x = 134,730,534,424,817.92
  5. Step 5: Solve for x
    x = 134,730,534,424,817.92/11,696,993.10
  6. Step 6: Final answer
    x = 11,518,390.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.