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Finding the Fourth Proportional to 8,405.89, 12,610.65 and 2,562.34

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Solution

The fourth proportional to 8,405.89, 12,610.65 and 2,562.34 is: 3,844.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.89 : 12,610.65 = 2,562.34 : x
  2. Step 2: Convert to fraction form
    8,405.89/12,610.65 = 2,562.34/x
  3. Step 3: Cross multiply
    8,405.89x = 12,610.65 × 2,562.34
  4. Step 4: Simplify right side
    8,405.89x = 32,312,772.92
  5. Step 5: Solve for x
    x = 32,312,772.92/8,405.89
  6. Step 6: Final answer
    x = 3,844.06

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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.