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Finding the Fourth Proportional to 8,484.04, 11,707.94 and 5,172.04

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Solution

The fourth proportional to 8,484.04, 11,707.94 and 5,172.04 is: 7,137.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.04 : 11,707.94 = 5,172.04 : x
  2. Step 2: Convert to fraction form
    8,484.04/11,707.94 = 5,172.04/x
  3. Step 3: Cross multiply
    8,484.04x = 11,707.94 × 5,172.04
  4. Step 4: Simplify right side
    8,484.04x = 60,553,934.00
  5. Step 5: Solve for x
    x = 60,553,934.00/8,484.04
  6. Step 6: Final answer
    x = 7,137.39

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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.