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Finding the Fourth Proportional to 10,502.39, 15,754.50 and 3,840.72

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Solution

The fourth proportional to 10,502.39, 15,754.50 and 3,840.72 is: 5,761.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.39 : 15,754.50 = 3,840.72 : x
  2. Step 2: Convert to fraction form
    10,502.39/15,754.50 = 3,840.72/x
  3. Step 3: Cross multiply
    10,502.39x = 15,754.50 × 3,840.72
  4. Step 4: Simplify right side
    10,502.39x = 60,508,623.24
  5. Step 5: Solve for x
    x = 60,508,623.24/10,502.39
  6. Step 6: Final answer
    x = 5,761.41

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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.