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Finding the Fourth Proportional to 7,874.27, 10,860.03 and 5,747.41

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Solution

The fourth proportional to 7,874.27, 10,860.03 and 5,747.41 is: 7,926.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.27 : 10,860.03 = 5,747.41 : x
  2. Step 2: Convert to fraction form
    7,874.27/10,860.03 = 5,747.41/x
  3. Step 3: Cross multiply
    7,874.27x = 10,860.03 × 5,747.41
  4. Step 4: Simplify right side
    7,874.27x = 62,417,045.02
  5. Step 5: Solve for x
    x = 62,417,045.02/7,874.27
  6. Step 6: Final answer
    x = 7,926.71

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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.