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Finding the Fourth Proportional to 8,016.35, 12,025.67 and 2,470.14

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Solution

The fourth proportional to 8,016.35, 12,025.67 and 2,470.14 is: 3,705.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,016.35 : 12,025.67 = 2,470.14 : x
  2. Step 2: Convert to fraction form
    8,016.35/12,025.67 = 2,470.14/x
  3. Step 3: Cross multiply
    8,016.35x = 12,025.67 × 2,470.14
  4. Step 4: Simplify right side
    8,016.35x = 29,705,076.14
  5. Step 5: Solve for x
    x = 29,705,076.14/8,016.35
  6. Step 6: Final answer
    x = 3,705.56

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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.