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Finding the Fourth Proportional to 8,340.84, 12,511.62 and 3,147.12

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Solution

The fourth proportional to 8,340.84, 12,511.62 and 3,147.12 is: 4,720.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.84 : 12,511.62 = 3,147.12 : x
  2. Step 2: Convert to fraction form
    8,340.84/12,511.62 = 3,147.12/x
  3. Step 3: Cross multiply
    8,340.84x = 12,511.62 × 3,147.12
  4. Step 4: Simplify right side
    8,340.84x = 39,375,569.53
  5. Step 5: Solve for x
    x = 39,375,569.53/8,340.84
  6. Step 6: Final answer
    x = 4,720.82

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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.