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Finding the Fourth Proportional to 8,452.80, 12,677.76 and 3,254.40

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Solution

The fourth proportional to 8,452.80, 12,677.76 and 3,254.40 is: 4,881.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,452.80 : 12,677.76 = 3,254.40 : x
  2. Step 2: Convert to fraction form
    8,452.80/12,677.76 = 3,254.40/x
  3. Step 3: Cross multiply
    8,452.80x = 12,677.76 × 3,254.40
  4. Step 4: Simplify right side
    8,452.80x = 41,258,502.14
  5. Step 5: Solve for x
    x = 41,258,502.14/8,452.80
  6. Step 6: Final answer
    x = 4,881.05

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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.