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Finding the Fourth Proportional to 8,407.44, 12,613.05 and 2,563.61

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Solution

The fourth proportional to 8,407.44, 12,613.05 and 2,563.61 is: 3,845.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.44 : 12,613.05 = 2,563.61 : x
  2. Step 2: Convert to fraction form
    8,407.44/12,613.05 = 2,563.61/x
  3. Step 3: Cross multiply
    8,407.44x = 12,613.05 × 2,563.61
  4. Step 4: Simplify right side
    8,407.44x = 32,334,878.05
  5. Step 5: Solve for x
    x = 32,334,878.05/8,407.44
  6. Step 6: Final answer
    x = 3,845.98

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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.