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Finding the Fourth Proportional to 10,251.78, 14,155.04 and 6,278.31

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Solution

The fourth proportional to 10,251.78, 14,155.04 and 6,278.31 is: 8,668.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251.78 : 14,155.04 = 6,278.31 : x
  2. Step 2: Convert to fraction form
    10,251.78/14,155.04 = 6,278.31/x
  3. Step 3: Cross multiply
    10,251.78x = 14,155.04 × 6,278.31
  4. Step 4: Simplify right side
    10,251.78x = 88,869,697.79
  5. Step 5: Solve for x
    x = 88,869,697.79/10,251.78
  6. Step 6: Final answer
    x = 8,668.71

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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.