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Finding the Fourth Proportional to 8,292.42, 12,439.34 and 2,449.29

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Solution

The fourth proportional to 8,292.42, 12,439.34 and 2,449.29 is: 3,674.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.42 : 12,439.34 = 2,449.29 : x
  2. Step 2: Convert to fraction form
    8,292.42/12,439.34 = 2,449.29/x
  3. Step 3: Cross multiply
    8,292.42x = 12,439.34 × 2,449.29
  4. Step 4: Simplify right side
    8,292.42x = 30,467,495.00
  5. Step 5: Solve for x
    x = 30,467,495.00/8,292.42
  6. Step 6: Final answer
    x = 3,674.14

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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.