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Finding the Fourth Proportional to 8,107.69, 12,162.18 and 2,561.46

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Solution

The fourth proportional to 8,107.69, 12,162.18 and 2,561.46 is: 3,842.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.69 : 12,162.18 = 2,561.46 : x
  2. Step 2: Convert to fraction form
    8,107.69/12,162.18 = 2,561.46/x
  3. Step 3: Cross multiply
    8,107.69x = 12,162.18 × 2,561.46
  4. Step 4: Simplify right side
    8,107.69x = 31,152,937.58
  5. Step 5: Solve for x
    x = 31,152,937.58/8,107.69
  6. Step 6: Final answer
    x = 3,842.39

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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.