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Finding the Fourth Proportional to 11,147.69, 15,385.38 and 6,900.11

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Solution

The fourth proportional to 11,147.69, 15,385.38 and 6,900.11 is: 9,523.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,147.69 : 15,385.38 = 6,900.11 : x
  2. Step 2: Convert to fraction form
    11,147.69/15,385.38 = 6,900.11/x
  3. Step 3: Cross multiply
    11,147.69x = 15,385.38 × 6,900.11
  4. Step 4: Simplify right side
    11,147.69x = 106,160,737.46
  5. Step 5: Solve for x
    x = 106,160,737.46/11,147.69
  6. Step 6: Final answer
    x = 9,523.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.