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Finding the Fourth Proportional to 8,294.83, 12,442.68 and 2,451.89

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Solution

The fourth proportional to 8,294.83, 12,442.68 and 2,451.89 is: 3,677.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.83 : 12,442.68 = 2,451.89 : x
  2. Step 2: Convert to fraction form
    8,294.83/12,442.68 = 2,451.89/x
  3. Step 3: Cross multiply
    8,294.83x = 12,442.68 × 2,451.89
  4. Step 4: Simplify right side
    8,294.83x = 30,508,113.77
  5. Step 5: Solve for x
    x = 30,508,113.77/8,294.83
  6. Step 6: Final answer
    x = 3,677.97

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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.