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Finding the Fourth Proportional to 8,405.44, 12,609.76 and 2,562.88

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Solution

The fourth proportional to 8,405.44, 12,609.76 and 2,562.88 is: 3,844.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.44 : 12,609.76 = 2,562.88 : x
  2. Step 2: Convert to fraction form
    8,405.44/12,609.76 = 2,562.88/x
  3. Step 3: Cross multiply
    8,405.44x = 12,609.76 × 2,562.88
  4. Step 4: Simplify right side
    8,405.44x = 32,317,301.71
  5. Step 5: Solve for x
    x = 32,317,301.71/8,405.44
  6. Step 6: Final answer
    x = 3,844.81

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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.