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Finding the Fourth Proportional to 6,744.88, 10,117.92 and 1,814.41

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Solution

The fourth proportional to 6,744.88, 10,117.92 and 1,814.41 is: 2,721.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.88 : 10,117.92 = 1,814.41 : x
  2. Step 2: Convert to fraction form
    6,744.88/10,117.92 = 1,814.41/x
  3. Step 3: Cross multiply
    6,744.88x = 10,117.92 × 1,814.41
  4. Step 4: Simplify right side
    6,744.88x = 18,358,029.93
  5. Step 5: Solve for x
    x = 18,358,029.93/6,744.88
  6. Step 6: Final answer
    x = 2,721.77

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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.