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Finding the Fourth Proportional to 10,999.57, 15,175.42 and 7,224.78

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Solution

The fourth proportional to 10,999.57, 15,175.42 and 7,224.78 is: 9,967.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,999.57 : 15,175.42 = 7,224.78 : x
  2. Step 2: Convert to fraction form
    10,999.57/15,175.42 = 7,224.78/x
  3. Step 3: Cross multiply
    10,999.57x = 15,175.42 × 7,224.78
  4. Step 4: Simplify right side
    10,999.57x = 109,639,070.91
  5. Step 5: Solve for x
    x = 109,639,070.91/10,999.57
  6. Step 6: Final answer
    x = 9,967.58

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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.