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Finding the Fourth Proportional to 6,778.40, 10,177.20 and 5,319.20

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Solution

The fourth proportional to 6,778.40, 10,177.20 and 5,319.20 is: 7,986.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.40 : 10,177.20 = 5,319.20 : x
  2. Step 2: Convert to fraction form
    6,778.40/10,177.20 = 5,319.20/x
  3. Step 3: Cross multiply
    6,778.40x = 10,177.20 × 5,319.20
  4. Step 4: Simplify right side
    6,778.40x = 54,134,562.24
  5. Step 5: Solve for x
    x = 54,134,562.24/6,778.40
  6. Step 6: Final answer
    x = 7,986.33

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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.