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Finding the Fourth Proportional to 8,259.65, 12,388.56 and 2,416.31

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Solution

The fourth proportional to 8,259.65, 12,388.56 and 2,416.31 is: 3,624.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,259.65 : 12,388.56 = 2,416.31 : x
  2. Step 2: Convert to fraction form
    8,259.65/12,388.56 = 2,416.31/x
  3. Step 3: Cross multiply
    8,259.65x = 12,388.56 × 2,416.31
  4. Step 4: Simplify right side
    8,259.65x = 29,934,601.41
  5. Step 5: Solve for x
    x = 29,934,601.41/8,259.65
  6. Step 6: Final answer
    x = 3,624.20

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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.