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Finding the Fourth Proportional to 8,314.29, 12,454.97 and 6,854.40

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Solution

The fourth proportional to 8,314.29, 12,454.97 and 6,854.40 is: 10,268.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.29 : 12,454.97 = 6,854.40 : x
  2. Step 2: Convert to fraction form
    8,314.29/12,454.97 = 6,854.40/x
  3. Step 3: Cross multiply
    8,314.29x = 12,454.97 × 6,854.40
  4. Step 4: Simplify right side
    8,314.29x = 85,371,312.10
  5. Step 5: Solve for x
    x = 85,371,312.10/8,314.29
  6. Step 6: Final answer
    x = 10,268.02

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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.