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Finding the Fourth Proportional to 8,377.92, 11,561.38 and 4,601.16

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Solution

The fourth proportional to 8,377.92, 11,561.38 and 4,601.16 is: 6,349.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,377.92 : 11,561.38 = 4,601.16 : x
  2. Step 2: Convert to fraction form
    8,377.92/11,561.38 = 4,601.16/x
  3. Step 3: Cross multiply
    8,377.92x = 11,561.38 × 4,601.16
  4. Step 4: Simplify right side
    8,377.92x = 53,195,759.20
  5. Step 5: Solve for x
    x = 53,195,759.20/8,377.92
  6. Step 6: Final answer
    x = 6,349.52

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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.