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Finding the Fourth Proportional to 8,251.35, 12,383.10 and 5,135.90

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Solution

The fourth proportional to 8,251.35, 12,383.10 and 5,135.90 is: 7,707.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.35 : 12,383.10 = 5,135.90 : x
  2. Step 2: Convert to fraction form
    8,251.35/12,383.10 = 5,135.90/x
  3. Step 3: Cross multiply
    8,251.35x = 12,383.10 × 5,135.90
  4. Step 4: Simplify right side
    8,251.35x = 63,598,301.37
  5. Step 5: Solve for x
    x = 63,598,301.37/8,251.35
  6. Step 6: Final answer
    x = 7,707.62

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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.