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Finding the Fourth Proportional to 11,493.60, 15,857.10 and 7,517.04

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Solution

The fourth proportional to 11,493.60, 15,857.10 and 7,517.04 is: 10,370.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.60 : 15,857.10 = 7,517.04 : x
  2. Step 2: Convert to fraction form
    11,493.60/15,857.10 = 7,517.04/x
  3. Step 3: Cross multiply
    11,493.60x = 15,857.10 × 7,517.04
  4. Step 4: Simplify right side
    11,493.60x = 119,198,454.98
  5. Step 5: Solve for x
    x = 119,198,454.98/11,493.60
  6. Step 6: Final answer
    x = 10,370.85

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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.