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Finding the Fourth Proportional to 10,876.75, 15,004.85 and 6,397.65

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Solution

The fourth proportional to 10,876.75, 15,004.85 and 6,397.65 is: 8,825.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876.75 : 15,004.85 = 6,397.65 : x
  2. Step 2: Convert to fraction form
    10,876.75/15,004.85 = 6,397.65/x
  3. Step 3: Cross multiply
    10,876.75x = 15,004.85 × 6,397.65
  4. Step 4: Simplify right side
    10,876.75x = 95,995,746.61
  5. Step 5: Solve for x
    x = 95,995,746.61/10,876.75
  6. Step 6: Final answer
    x = 8,825.78

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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.