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Finding the Fourth Proportional to 7,660.90, 11,481.13 and 4,095.71

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Solution

The fourth proportional to 7,660.90, 11,481.13 and 4,095.71 is: 6,138.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.90 : 11,481.13 = 4,095.71 : x
  2. Step 2: Convert to fraction form
    7,660.90/11,481.13 = 4,095.71/x
  3. Step 3: Cross multiply
    7,660.90x = 11,481.13 × 4,095.71
  4. Step 4: Simplify right side
    7,660.90x = 47,023,378.95
  5. Step 5: Solve for x
    x = 47,023,378.95/7,660.90
  6. Step 6: Final answer
    x = 6,138.10

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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.