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Finding the Fourth Proportional to 10,872.65, 16,306.54 and 5,320.42

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Solution

The fourth proportional to 10,872.65, 16,306.54 and 5,320.42 is: 7,979.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.65 : 16,306.54 = 5,320.42 : x
  2. Step 2: Convert to fraction form
    10,872.65/16,306.54 = 5,320.42/x
  3. Step 3: Cross multiply
    10,872.65x = 16,306.54 × 5,320.42
  4. Step 4: Simplify right side
    10,872.65x = 86,757,587.48
  5. Step 5: Solve for x
    x = 86,757,587.48/10,872.65
  6. Step 6: Final answer
    x = 7,979.43

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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.