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Finding the Fourth Proportional to 8,095.48, 12,138.10 and 3,414.20

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Solution

The fourth proportional to 8,095.48, 12,138.10 and 3,414.20 is: 5,119.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,095.48 : 12,138.10 = 3,414.20 : x
  2. Step 2: Convert to fraction form
    8,095.48/12,138.10 = 3,414.20/x
  3. Step 3: Cross multiply
    8,095.48x = 12,138.10 × 3,414.20
  4. Step 4: Simplify right side
    8,095.48x = 41,441,901.02
  5. Step 5: Solve for x
    x = 41,441,901.02/8,095.48
  6. Step 6: Final answer
    x = 5,119.14

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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.