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Finding the Fourth Proportional to 8,257.66, 12,392.57 and 5,483.41

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Solution

The fourth proportional to 8,257.66, 12,392.57 and 5,483.41 is: 8,229.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.66 : 12,392.57 = 5,483.41 : x
  2. Step 2: Convert to fraction form
    8,257.66/12,392.57 = 5,483.41/x
  3. Step 3: Cross multiply
    8,257.66x = 12,392.57 × 5,483.41
  4. Step 4: Simplify right side
    8,257.66x = 67,953,514.85
  5. Step 5: Solve for x
    x = 67,953,514.85/8,257.66
  6. Step 6: Final answer
    x = 8,229.15

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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.