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Finding the Fourth Proportional to 6,876.80, 10,315.20 and 5,148.80

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Solution

The fourth proportional to 6,876.80, 10,315.20 and 5,148.80 is: 7,723.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.80 : 10,315.20 = 5,148.80 : x
  2. Step 2: Convert to fraction form
    6,876.80/10,315.20 = 5,148.80/x
  3. Step 3: Cross multiply
    6,876.80x = 10,315.20 × 5,148.80
  4. Step 4: Simplify right side
    6,876.80x = 53,110,901.76
  5. Step 5: Solve for x
    x = 53,110,901.76/6,876.80
  6. Step 6: Final answer
    x = 7,723.20

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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.