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Finding the Fourth Proportional to 8,408.82, 12,613.22 and 2,565.48

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Solution

The fourth proportional to 8,408.82, 12,613.22 and 2,565.48 is: 3,848.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.82 : 12,613.22 = 2,565.48 : x
  2. Step 2: Convert to fraction form
    8,408.82/12,613.22 = 2,565.48/x
  3. Step 3: Cross multiply
    8,408.82x = 12,613.22 × 2,565.48
  4. Step 4: Simplify right side
    8,408.82x = 32,358,963.65
  5. Step 5: Solve for x
    x = 32,358,963.65/8,408.82
  6. Step 6: Final answer
    x = 3,848.22

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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.