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Finding the Fourth Proportional to 8,439.46, 12,649.47 and 3,511.42

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Solution

The fourth proportional to 8,439.46, 12,649.47 and 3,511.42 is: 5,263.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,439.46 : 12,649.47 = 3,511.42 : x
  2. Step 2: Convert to fraction form
    8,439.46/12,649.47 = 3,511.42/x
  3. Step 3: Cross multiply
    8,439.46x = 12,649.47 × 3,511.42
  4. Step 4: Simplify right side
    8,439.46x = 44,417,601.95
  5. Step 5: Solve for x
    x = 44,417,601.95/8,439.46
  6. Step 6: Final answer
    x = 5,263.09

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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.