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Finding the Fourth Proportional to 8,291.49, 12,439.29 and 3,907.92

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Solution

The fourth proportional to 8,291.49, 12,439.29 and 3,907.92 is: 5,862.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.49 : 12,439.29 = 3,907.92 : x
  2. Step 2: Convert to fraction form
    8,291.49/12,439.29 = 3,907.92/x
  3. Step 3: Cross multiply
    8,291.49x = 12,439.29 × 3,907.92
  4. Step 4: Simplify right side
    8,291.49x = 48,611,750.18
  5. Step 5: Solve for x
    x = 48,611,750.18/8,291.49
  6. Step 6: Final answer
    x = 5,862.85

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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.