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Finding the Fourth Proportional to 8,452.48, 12,677.76 and 2,296.96

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Solution

The fourth proportional to 8,452.48, 12,677.76 and 2,296.96 is: 3,445.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,452.48 : 12,677.76 = 2,296.96 : x
  2. Step 2: Convert to fraction form
    8,452.48/12,677.76 = 2,296.96/x
  3. Step 3: Cross multiply
    8,452.48x = 12,677.76 × 2,296.96
  4. Step 4: Simplify right side
    8,452.48x = 29,120,307.61
  5. Step 5: Solve for x
    x = 29,120,307.61/8,452.48
  6. Step 6: Final answer
    x = 3,445.18

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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.