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Finding the Fourth Proportional to 7,282.80, 10,864.26 and 6,732

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Solution

The fourth proportional to 7,282.80, 10,864.26 and 6,732 is: 10,042.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,282.80 : 10,864.26 = 6,732 : x
  2. Step 2: Convert to fraction form
    7,282.80/10,864.26 = 6,732/x
  3. Step 3: Cross multiply
    7,282.80x = 10,864.26 × 6,732
  4. Step 4: Simplify right side
    7,282.80x = 73,138,198.32
  5. Step 5: Solve for x
    x = 73,138,198.32/7,282.80
  6. Step 6: Final answer
    x = 10,042.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.