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Finding the Fourth Proportional to 10,330.03, 14,255.44 and 5,614.31

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Solution

The fourth proportional to 10,330.03, 14,255.44 and 5,614.31 is: 7,747.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,330.03 : 14,255.44 = 5,614.31 : x
  2. Step 2: Convert to fraction form
    10,330.03/14,255.44 = 5,614.31/x
  3. Step 3: Cross multiply
    10,330.03x = 14,255.44 × 5,614.31
  4. Step 4: Simplify right side
    10,330.03x = 80,034,512.53
  5. Step 5: Solve for x
    x = 80,034,512.53/10,330.03
  6. Step 6: Final answer
    x = 7,747.75

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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.