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Finding the Fourth Proportional to 10,986.27, 15,161.07 and 6,512.22

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Solution

The fourth proportional to 10,986.27, 15,161.07 and 6,512.22 is: 8,986.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,986.27 : 15,161.07 = 6,512.22 : x
  2. Step 2: Convert to fraction form
    10,986.27/15,161.07 = 6,512.22/x
  3. Step 3: Cross multiply
    10,986.27x = 15,161.07 × 6,512.22
  4. Step 4: Simplify right side
    10,986.27x = 98,732,223.28
  5. Step 5: Solve for x
    x = 98,732,223.28/10,986.27
  6. Step 6: Final answer
    x = 8,986.87

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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.