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Finding the Fourth Proportional to 10,524.80, 15,781.92 and 6,150.88

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Solution

The fourth proportional to 10,524.80, 15,781.92 and 6,150.88 is: 9,223.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.80 : 15,781.92 = 6,150.88 : x
  2. Step 2: Convert to fraction form
    10,524.80/15,781.92 = 6,150.88/x
  3. Step 3: Cross multiply
    10,524.80x = 15,781.92 × 6,150.88
  4. Step 4: Simplify right side
    10,524.80x = 97,072,696.09
  5. Step 5: Solve for x
    x = 97,072,696.09/10,524.80
  6. Step 6: Final answer
    x = 9,223.23

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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.