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Finding the Fourth Proportional to 8,337.38, 11,505.66 and 4,560.47

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Solution

The fourth proportional to 8,337.38, 11,505.66 and 4,560.47 is: 6,293.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,337.38 : 11,505.66 = 4,560.47 : x
  2. Step 2: Convert to fraction form
    8,337.38/11,505.66 = 4,560.47/x
  3. Step 3: Cross multiply
    8,337.38x = 11,505.66 × 4,560.47
  4. Step 4: Simplify right side
    8,337.38x = 52,471,217.26
  5. Step 5: Solve for x
    x = 52,471,217.26/8,337.38
  6. Step 6: Final answer
    x = 6,293.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.