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Finding the Fourth Proportional to 11,472, 15,833.97 and 6,757.80

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Solution

The fourth proportional to 11,472, 15,833.97 and 6,757.80 is: 9,327.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,472 : 15,833.97 = 6,757.80 : x
  2. Step 2: Convert to fraction form
    11,472/15,833.97 = 6,757.80/x
  3. Step 3: Cross multiply
    11,472x = 15,833.97 × 6,757.80
  4. Step 4: Simplify right side
    11,472x = 107,002,802.47
  5. Step 5: Solve for x
    x = 107,002,802.47/11,472
  6. Step 6: Final answer
    x = 9,327.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.