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Finding the Fourth Proportional to 8,404.14, 12,608.03 and 2,560.59

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Solution

The fourth proportional to 8,404.14, 12,608.03 and 2,560.59 is: 3,841.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404.14 : 12,608.03 = 2,560.59 : x
  2. Step 2: Convert to fraction form
    8,404.14/12,608.03 = 2,560.59/x
  3. Step 3: Cross multiply
    8,404.14x = 12,608.03 × 2,560.59
  4. Step 4: Simplify right side
    8,404.14x = 32,283,995.54
  5. Step 5: Solve for x
    x = 32,283,995.54/8,404.14
  6. Step 6: Final answer
    x = 3,841.44

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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.