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Finding the Fourth Proportional to 10,866.50, 15,002.54 and 7,469.36

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Solution

The fourth proportional to 10,866.50, 15,002.54 and 7,469.36 is: 10,312.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.50 : 15,002.54 = 7,469.36 : x
  2. Step 2: Convert to fraction form
    10,866.50/15,002.54 = 7,469.36/x
  3. Step 3: Cross multiply
    10,866.50x = 15,002.54 × 7,469.36
  4. Step 4: Simplify right side
    10,866.50x = 112,059,372.17
  5. Step 5: Solve for x
    x = 112,059,372.17/10,866.50
  6. Step 6: Final answer
    x = 10,312.37

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