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Finding the Fourth Proportional to 10,874.72, 16,319.39 and 3,854.71

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Solution

The fourth proportional to 10,874.72, 16,319.39 and 3,854.71 is: 5,784.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.72 : 16,319.39 = 3,854.71 : x
  2. Step 2: Convert to fraction form
    10,874.72/16,319.39 = 3,854.71/x
  3. Step 3: Cross multiply
    10,874.72x = 16,319.39 × 3,854.71
  4. Step 4: Simplify right side
    10,874.72x = 62,906,515.83
  5. Step 5: Solve for x
    x = 62,906,515.83/10,874.72
  6. Step 6: Final answer
    x = 5,784.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.