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Finding the Fourth Proportional to 6,878.38, 10,319.07 and 3,756.78

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Solution

The fourth proportional to 6,878.38, 10,319.07 and 3,756.78 is: 5,635.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.38 : 10,319.07 = 3,756.78 : x
  2. Step 2: Convert to fraction form
    6,878.38/10,319.07 = 3,756.78/x
  3. Step 3: Cross multiply
    6,878.38x = 10,319.07 × 3,756.78
  4. Step 4: Simplify right side
    6,878.38x = 38,766,424.20
  5. Step 5: Solve for x
    x = 38,766,424.20/6,878.38
  6. Step 6: Final answer
    x = 5,635.98

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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.