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Finding the Fourth Proportional to 8,355.10, 12,532.67 and 3,423.86

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Solution

The fourth proportional to 8,355.10, 12,532.67 and 3,423.86 is: 5,135.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,355.10 : 12,532.67 = 3,423.86 : x
  2. Step 2: Convert to fraction form
    8,355.10/12,532.67 = 3,423.86/x
  3. Step 3: Cross multiply
    8,355.10x = 12,532.67 × 3,423.86
  4. Step 4: Simplify right side
    8,355.10x = 42,910,027.72
  5. Step 5: Solve for x
    x = 42,910,027.72/8,355.10
  6. Step 6: Final answer
    x = 5,135.79

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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.