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Finding the Fourth Proportional to 11,391.15, 15,729.68 and 7,149.57

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Solution

The fourth proportional to 11,391.15, 15,729.68 and 7,149.57 is: 9,872.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,391.15 : 15,729.68 = 7,149.57 : x
  2. Step 2: Convert to fraction form
    11,391.15/15,729.68 = 7,149.57/x
  3. Step 3: Cross multiply
    11,391.15x = 15,729.68 × 7,149.57
  4. Step 4: Simplify right side
    11,391.15x = 112,460,366.91
  5. Step 5: Solve for x
    x = 112,460,366.91/11,391.15
  6. Step 6: Final answer
    x = 9,872.61

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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.