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Finding the Fourth Proportional to 6,876.80, 10,300.80 and 5,724.80

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Solution

The fourth proportional to 6,876.80, 10,300.80 and 5,724.80 is: 8,575.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.80 : 10,300.80 = 5,724.80 : x
  2. Step 2: Convert to fraction form
    6,876.80/10,300.80 = 5,724.80/x
  3. Step 3: Cross multiply
    6,876.80x = 10,300.80 × 5,724.80
  4. Step 4: Simplify right side
    6,876.80x = 58,970,019.84
  5. Step 5: Solve for x
    x = 58,970,019.84/6,876.80
  6. Step 6: Final answer
    x = 8,575.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.