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Finding the Fourth Proportional to 8,814.49, 12,162.48 and 5,828.71

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Solution

The fourth proportional to 8,814.49, 12,162.48 and 5,828.71 is: 8,042.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,814.49 : 12,162.48 = 5,828.71 : x
  2. Step 2: Convert to fraction form
    8,814.49/12,162.48 = 5,828.71/x
  3. Step 3: Cross multiply
    8,814.49x = 12,162.48 × 5,828.71
  4. Step 4: Simplify right side
    8,814.49x = 70,891,568.80
  5. Step 5: Solve for x
    x = 70,891,568.80/8,814.49
  6. Step 6: Final answer
    x = 8,042.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.