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Finding the Fourth Proportional to 6,744.41, 10,098.89 and 5,421.14

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Solution

The fourth proportional to 6,744.41, 10,098.89 and 5,421.14 is: 8,117.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.41 : 10,098.89 = 5,421.14 : x
  2. Step 2: Convert to fraction form
    6,744.41/10,098.89 = 5,421.14/x
  3. Step 3: Cross multiply
    6,744.41x = 10,098.89 × 5,421.14
  4. Step 4: Simplify right side
    6,744.41x = 54,747,418.93
  5. Step 5: Solve for x
    x = 54,747,418.93/6,744.41
  6. Step 6: Final answer
    x = 8,117.46

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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.