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Finding the Fourth Proportional to 8,270.62, 12,405.85 and 3,340.17

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Solution

The fourth proportional to 8,270.62, 12,405.85 and 3,340.17 is: 5,010.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.62 : 12,405.85 = 3,340.17 : x
  2. Step 2: Convert to fraction form
    8,270.62/12,405.85 = 3,340.17/x
  3. Step 3: Cross multiply
    8,270.62x = 12,405.85 × 3,340.17
  4. Step 4: Simplify right side
    8,270.62x = 41,437,639.64
  5. Step 5: Solve for x
    x = 41,437,639.64/8,270.62
  6. Step 6: Final answer
    x = 5,010.22

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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.