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Finding the Fourth Proportional to 10,277.20, 15,390.20 and 8,229.20

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Solution

The fourth proportional to 10,277.20, 15,390.20 and 8,229.20 is: 12,323.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,277.20 : 15,390.20 = 8,229.20 : x
  2. Step 2: Convert to fraction form
    10,277.20/15,390.20 = 8,229.20/x
  3. Step 3: Cross multiply
    10,277.20x = 15,390.20 × 8,229.20
  4. Step 4: Simplify right side
    10,277.20x = 126,649,033.84
  5. Step 5: Solve for x
    x = 126,649,033.84/10,277.20
  6. Step 6: Final answer
    x = 12,323.30

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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.