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Finding the Fourth Proportional to 8,974.57, 13,436.25 and 7,128.31

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Solution

The fourth proportional to 8,974.57, 13,436.25 and 7,128.31 is: 10,672.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.57 : 13,436.25 = 7,128.31 : x
  2. Step 2: Convert to fraction form
    8,974.57/13,436.25 = 7,128.31/x
  3. Step 3: Cross multiply
    8,974.57x = 13,436.25 × 7,128.31
  4. Step 4: Simplify right side
    8,974.57x = 95,777,755.24
  5. Step 5: Solve for x
    x = 95,777,755.24/8,974.57
  6. Step 6: Final answer
    x = 10,672.13

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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.