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Finding the Fourth Proportional to 10,727.72, 14,788.75 and 7,531.29

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Solution

The fourth proportional to 10,727.72, 14,788.75 and 7,531.29 is: 10,382.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727.72 : 14,788.75 = 7,531.29 : x
  2. Step 2: Convert to fraction form
    10,727.72/14,788.75 = 7,531.29/x
  3. Step 3: Cross multiply
    10,727.72x = 14,788.75 × 7,531.29
  4. Step 4: Simplify right side
    10,727.72x = 111,378,253.39
  5. Step 5: Solve for x
    x = 111,378,253.39/10,727.72
  6. Step 6: Final answer
    x = 10,382.29

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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.