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Finding the Fourth Proportional to 10,330.32, 14,255.97 and 5,614.61

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Solution

The fourth proportional to 10,330.32, 14,255.97 and 5,614.61 is: 7,748.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,330.32 : 14,255.97 = 5,614.61 : x
  2. Step 2: Convert to fraction form
    10,330.32/14,255.97 = 5,614.61/x
  3. Step 3: Cross multiply
    10,330.32x = 14,255.97 × 5,614.61
  4. Step 4: Simplify right side
    10,330.32x = 80,041,640.44
  5. Step 5: Solve for x
    x = 80,041,640.44/10,330.32
  6. Step 6: Final answer
    x = 7,748.22

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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.