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Finding the Fourth Proportional to 8,061.21, 11,169.26 and 7,886.25

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Solution

The fourth proportional to 8,061.21, 11,169.26 and 7,886.25 is: 10,926.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,061.21 : 11,169.26 = 7,886.25 : x
  2. Step 2: Convert to fraction form
    8,061.21/11,169.26 = 7,886.25/x
  3. Step 3: Cross multiply
    8,061.21x = 11,169.26 × 7,886.25
  4. Step 4: Simplify right side
    8,061.21x = 88,083,596.39
  5. Step 5: Solve for x
    x = 88,083,596.39/8,061.21
  6. Step 6: Final answer
    x = 10,926.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.