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Finding the Fourth Proportional to 8,418.42, 12,626.64 and 2,575.08

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Solution

The fourth proportional to 8,418.42, 12,626.64 and 2,575.08 is: 3,862.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,418.42 : 12,626.64 = 2,575.08 : x
  2. Step 2: Convert to fraction form
    8,418.42/12,626.64 = 2,575.08/x
  3. Step 3: Cross multiply
    8,418.42x = 12,626.64 × 2,575.08
  4. Step 4: Simplify right side
    8,418.42x = 32,514,608.13
  5. Step 5: Solve for x
    x = 32,514,608.13/8,418.42
  6. Step 6: Final answer
    x = 3,862.32

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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.