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Finding the Fourth Proportional to 8,402.08, 12,609.84 and 3,785.44

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Solution

The fourth proportional to 8,402.08, 12,609.84 and 3,785.44 is: 5,681.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.08 : 12,609.84 = 3,785.44 : x
  2. Step 2: Convert to fraction form
    8,402.08/12,609.84 = 3,785.44/x
  3. Step 3: Cross multiply
    8,402.08x = 12,609.84 × 3,785.44
  4. Step 4: Simplify right side
    8,402.08x = 47,733,792.73
  5. Step 5: Solve for x
    x = 47,733,792.73/8,402.08
  6. Step 6: Final answer
    x = 5,681.19

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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.