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Finding the Fourth Proportional to 8,141.39, 12,212.18 and 2,594.70

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Solution

The fourth proportional to 8,141.39, 12,212.18 and 2,594.70 is: 3,892.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.39 : 12,212.18 = 2,594.70 : x
  2. Step 2: Convert to fraction form
    8,141.39/12,212.18 = 2,594.70/x
  3. Step 3: Cross multiply
    8,141.39x = 12,212.18 × 2,594.70
  4. Step 4: Simplify right side
    8,141.39x = 31,686,930.47
  5. Step 5: Solve for x
    x = 31,686,930.47/8,141.39
  6. Step 6: Final answer
    x = 3,892.08

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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.