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Finding the Fourth Proportional to 8,454.48, 12,680.16 and 2,297.04

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Solution

The fourth proportional to 8,454.48, 12,680.16 and 2,297.04 is: 3,445.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.48 : 12,680.16 = 2,297.04 : x
  2. Step 2: Convert to fraction form
    8,454.48/12,680.16 = 2,297.04/x
  3. Step 3: Cross multiply
    8,454.48x = 12,680.16 × 2,297.04
  4. Step 4: Simplify right side
    8,454.48x = 29,126,834.73
  5. Step 5: Solve for x
    x = 29,126,834.73/8,454.48
  6. Step 6: Final answer
    x = 3,445.14

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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.