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Finding the Fourth Proportional to 10,874.40, 16,312.32 and 3,854.40

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Solution

The fourth proportional to 10,874.40, 16,312.32 and 3,854.40 is: 5,781.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.40 : 16,312.32 = 3,854.40 : x
  2. Step 2: Convert to fraction form
    10,874.40/16,312.32 = 3,854.40/x
  3. Step 3: Cross multiply
    10,874.40x = 16,312.32 × 3,854.40
  4. Step 4: Simplify right side
    10,874.40x = 62,874,206.21
  5. Step 5: Solve for x
    x = 62,874,206.21/10,874.40
  6. Step 6: Final answer
    x = 5,781.86

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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.