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Finding the Fourth Proportional to 8,095.74, 12,138.15 and 3,710.82

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Solution

The fourth proportional to 8,095.74, 12,138.15 and 3,710.82 is: 5,563.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,095.74 : 12,138.15 = 3,710.82 : x
  2. Step 2: Convert to fraction form
    8,095.74/12,138.15 = 3,710.82/x
  3. Step 3: Cross multiply
    8,095.74x = 12,138.15 × 3,710.82
  4. Step 4: Simplify right side
    8,095.74x = 45,042,489.78
  5. Step 5: Solve for x
    x = 45,042,489.78/8,095.74
  6. Step 6: Final answer
    x = 5,563.73

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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.