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Finding the Fourth Proportional to 10,986.74, 15,161.71 and 5,950.97

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Solution

The fourth proportional to 10,986.74, 15,161.71 and 5,950.97 is: 8,212.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,986.74 : 15,161.71 = 5,950.97 : x
  2. Step 2: Convert to fraction form
    10,986.74/15,161.71 = 5,950.97/x
  3. Step 3: Cross multiply
    10,986.74x = 15,161.71 × 5,950.97
  4. Step 4: Simplify right side
    10,986.74x = 90,226,805.55
  5. Step 5: Solve for x
    x = 90,226,805.55/10,986.74
  6. Step 6: Final answer
    x = 8,212.34

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