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Finding the Fourth Proportional to 8,385.70, 12,586.65 and 5,105.20

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Solution

The fourth proportional to 8,385.70, 12,586.65 and 5,105.20 is: 7,662.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.70 : 12,586.65 = 5,105.20 : x
  2. Step 2: Convert to fraction form
    8,385.70/12,586.65 = 5,105.20/x
  3. Step 3: Cross multiply
    8,385.70x = 12,586.65 × 5,105.20
  4. Step 4: Simplify right side
    8,385.70x = 64,257,365.58
  5. Step 5: Solve for x
    x = 64,257,365.58/8,385.70
  6. Step 6: Final answer
    x = 7,662.73

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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.