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Finding the Fourth Proportional to 10,314.72, 15,447.96 and 7,534.44

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Solution

The fourth proportional to 10,314.72, 15,447.96 and 7,534.44 is: 11,284.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.72 : 15,447.96 = 7,534.44 : x
  2. Step 2: Convert to fraction form
    10,314.72/15,447.96 = 7,534.44/x
  3. Step 3: Cross multiply
    10,314.72x = 15,447.96 × 7,534.44
  4. Step 4: Simplify right side
    10,314.72x = 116,391,727.74
  5. Step 5: Solve for x
    x = 116,391,727.74/10,314.72
  6. Step 6: Final answer
    x = 11,284.04

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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.