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Finding the Fourth Proportional to 8,140.89, 12,211.43 and 2,594.20

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Solution

The fourth proportional to 8,140.89, 12,211.43 and 2,594.20 is: 3,891.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.89 : 12,211.43 = 2,594.20 : x
  2. Step 2: Convert to fraction form
    8,140.89/12,211.43 = 2,594.20/x
  3. Step 3: Cross multiply
    8,140.89x = 12,211.43 × 2,594.20
  4. Step 4: Simplify right side
    8,140.89x = 31,678,891.71
  5. Step 5: Solve for x
    x = 31,678,891.71/8,140.89
  6. Step 6: Final answer
    x = 3,891.33

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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.