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Finding the Fourth Proportional to 6,744.89, 10,117.31 and 1,814.13

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Solution

The fourth proportional to 6,744.89, 10,117.31 and 1,814.13 is: 2,721.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.89 : 10,117.31 = 1,814.13 : x
  2. Step 2: Convert to fraction form
    6,744.89/10,117.31 = 1,814.13/x
  3. Step 3: Cross multiply
    6,744.89x = 10,117.31 × 1,814.13
  4. Step 4: Simplify right side
    6,744.89x = 18,354,106.52
  5. Step 5: Solve for x
    x = 18,354,106.52/6,744.89
  6. Step 6: Final answer
    x = 2,721.19

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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.