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Finding the Fourth Proportional to 10,666.10, 15,999.15 and 9,542.90

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Solution

The fourth proportional to 10,666.10, 15,999.15 and 9,542.90 is: 14,314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.10 : 15,999.15 = 9,542.90 : x
  2. Step 2: Convert to fraction form
    10,666.10/15,999.15 = 9,542.90/x
  3. Step 3: Cross multiply
    10,666.10x = 15,999.15 × 9,542.90
  4. Step 4: Simplify right side
    10,666.10x = 152,678,288.54
  5. Step 5: Solve for x
    x = 152,678,288.54/10,666.10
  6. Step 6: Final answer
    x = 14,314.35

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