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Finding the Fourth Proportional to 8,107.74, 12,162.21 and 2,842.17

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Solution

The fourth proportional to 8,107.74, 12,162.21 and 2,842.17 is: 4,263.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.74 : 12,162.21 = 2,842.17 : x
  2. Step 2: Convert to fraction form
    8,107.74/12,162.21 = 2,842.17/x
  3. Step 3: Cross multiply
    8,107.74x = 12,162.21 × 2,842.17
  4. Step 4: Simplify right side
    8,107.74x = 34,567,068.40
  5. Step 5: Solve for x
    x = 34,567,068.40/8,107.74
  6. Step 6: Final answer
    x = 4,263.47

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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.