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Finding the Fourth Proportional to 10,139.38, 13,991.67 and 7,750.96

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Solution

The fourth proportional to 10,139.38, 13,991.67 and 7,750.96 is: 10,695.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,139.38 : 13,991.67 = 7,750.96 : x
  2. Step 2: Convert to fraction form
    10,139.38/13,991.67 = 7,750.96/x
  3. Step 3: Cross multiply
    10,139.38x = 13,991.67 × 7,750.96
  4. Step 4: Simplify right side
    10,139.38x = 108,448,839.52
  5. Step 5: Solve for x
    x = 108,448,839.52/10,139.38
  6. Step 6: Final answer
    x = 10,695.81

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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.