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Finding the Fourth Proportional to 10,089.75, 13,924.07 and 5,614.30

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Solution

The fourth proportional to 10,089.75, 13,924.07 and 5,614.30 is: 7,747.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089.75 : 13,924.07 = 5,614.30 : x
  2. Step 2: Convert to fraction form
    10,089.75/13,924.07 = 5,614.30/x
  3. Step 3: Cross multiply
    10,089.75x = 13,924.07 × 5,614.30
  4. Step 4: Simplify right side
    10,089.75x = 78,173,906.20
  5. Step 5: Solve for x
    x = 78,173,906.20/10,089.75
  6. Step 6: Final answer
    x = 7,747.85

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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.