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Finding the Fourth Proportional to 8,298.72, 12,449.28 and 2,454.56

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Solution

The fourth proportional to 8,298.72, 12,449.28 and 2,454.56 is: 3,682.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298.72 : 12,449.28 = 2,454.56 : x
  2. Step 2: Convert to fraction form
    8,298.72/12,449.28 = 2,454.56/x
  3. Step 3: Cross multiply
    8,298.72x = 12,449.28 × 2,454.56
  4. Step 4: Simplify right side
    8,298.72x = 30,557,504.72
  5. Step 5: Solve for x
    x = 30,557,504.72/8,298.72
  6. Step 6: Final answer
    x = 3,682.19

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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.