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Finding the Fourth Proportional to 7,761.60, 11,641.68 and 2,567.52

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Solution

The fourth proportional to 7,761.60, 11,641.68 and 2,567.52 is: 3,851.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.60 : 11,641.68 = 2,567.52 : x
  2. Step 2: Convert to fraction form
    7,761.60/11,641.68 = 2,567.52/x
  3. Step 3: Cross multiply
    7,761.60x = 11,641.68 × 2,567.52
  4. Step 4: Simplify right side
    7,761.60x = 29,890,246.23
  5. Step 5: Solve for x
    x = 29,890,246.23/7,761.60
  6. Step 6: Final answer
    x = 3,851.04

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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.