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Finding the Fourth Proportional to 6,864.80, 10,282.80 and 5,712.80

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Solution

The fourth proportional to 6,864.80, 10,282.80 and 5,712.80 is: 8,557.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.80 : 10,282.80 = 5,712.80 : x
  2. Step 2: Convert to fraction form
    6,864.80/10,282.80 = 5,712.80/x
  3. Step 3: Cross multiply
    6,864.80x = 10,282.80 × 5,712.80
  4. Step 4: Simplify right side
    6,864.80x = 58,743,579.84
  5. Step 5: Solve for x
    x = 58,743,579.84/6,864.80
  6. Step 6: Final answer
    x = 8,557.22

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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.