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Finding the Fourth Proportional to 6,517.92, 9,775.74 and 3,007.76

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Solution

The fourth proportional to 6,517.92, 9,775.74 and 3,007.76 is: 4,511.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.92 : 9,775.74 = 3,007.76 : x
  2. Step 2: Convert to fraction form
    6,517.92/9,775.74 = 3,007.76/x
  3. Step 3: Cross multiply
    6,517.92x = 9,775.74 × 3,007.76
  4. Step 4: Simplify right side
    6,517.92x = 29,403,079.74
  5. Step 5: Solve for x
    x = 29,403,079.74/6,517.92
  6. Step 6: Final answer
    x = 4,511.11

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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.