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Finding the Fourth Proportional to 8,297.59, 12,447.74 and 2,454.79

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Solution

The fourth proportional to 8,297.59, 12,447.74 and 2,454.79 is: 3,682.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.59 : 12,447.74 = 2,454.79 : x
  2. Step 2: Convert to fraction form
    8,297.59/12,447.74 = 2,454.79/x
  3. Step 3: Cross multiply
    8,297.59x = 12,447.74 × 2,454.79
  4. Step 4: Simplify right side
    8,297.59x = 30,556,587.67
  5. Step 5: Solve for x
    x = 30,556,587.67/8,297.59
  6. Step 6: Final answer
    x = 3,682.59

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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.