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Finding the Fourth Proportional to 10,728.22, 14,789.44 and 7,531.79

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Solution

The fourth proportional to 10,728.22, 14,789.44 and 7,531.79 is: 10,382.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.22 : 14,789.44 = 7,531.79 : x
  2. Step 2: Convert to fraction form
    10,728.22/14,789.44 = 7,531.79/x
  3. Step 3: Cross multiply
    10,728.22x = 14,789.44 × 7,531.79
  4. Step 4: Simplify right side
    10,728.22x = 111,390,844.69
  5. Step 5: Solve for x
    x = 111,390,844.69/10,728.22
  6. Step 6: Final answer
    x = 10,382.98

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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.