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Finding the Fourth Proportional to 6,517.48, 9,766.48 and 2,619.76

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Solution

The fourth proportional to 6,517.48, 9,766.48 and 2,619.76 is: 3,925.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.48 : 9,766.48 = 2,619.76 : x
  2. Step 2: Convert to fraction form
    6,517.48/9,766.48 = 2,619.76/x
  3. Step 3: Cross multiply
    6,517.48x = 9,766.48 × 2,619.76
  4. Step 4: Simplify right side
    6,517.48x = 25,585,833.64
  5. Step 5: Solve for x
    x = 25,585,833.64/6,517.48
  6. Step 6: Final answer
    x = 3,925.72

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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.