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Finding the Fourth Proportional to 6,842.71, 10,263.55 and 2,162.89

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Solution

The fourth proportional to 6,842.71, 10,263.55 and 2,162.89 is: 3,244.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.71 : 10,263.55 = 2,162.89 : x
  2. Step 2: Convert to fraction form
    6,842.71/10,263.55 = 2,162.89/x
  3. Step 3: Cross multiply
    6,842.71x = 10,263.55 × 2,162.89
  4. Step 4: Simplify right side
    6,842.71x = 22,198,929.66
  5. Step 5: Solve for x
    x = 22,198,929.66/6,842.71
  6. Step 6: Final answer
    x = 3,244.17

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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.