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Finding the Fourth Proportional to 8,561.50, 12,844.42 and 2,405.50

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Solution

The fourth proportional to 8,561.50, 12,844.42 and 2,405.50 is: 3,608.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.50 : 12,844.42 = 2,405.50 : x
  2. Step 2: Convert to fraction form
    8,561.50/12,844.42 = 2,405.50/x
  3. Step 3: Cross multiply
    8,561.50x = 12,844.42 × 2,405.50
  4. Step 4: Simplify right side
    8,561.50x = 30,897,252.31
  5. Step 5: Solve for x
    x = 30,897,252.31/8,561.50
  6. Step 6: Final answer
    x = 3,608.86

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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.