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Finding the Fourth Proportional to 10,885.89, 15,022.51 and 6,170.16

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Solution

The fourth proportional to 10,885.89, 15,022.51 and 6,170.16 is: 8,514.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,885.89 : 15,022.51 = 6,170.16 : x
  2. Step 2: Convert to fraction form
    10,885.89/15,022.51 = 6,170.16/x
  3. Step 3: Cross multiply
    10,885.89x = 15,022.51 × 6,170.16
  4. Step 4: Simplify right side
    10,885.89x = 92,691,290.30
  5. Step 5: Solve for x
    x = 92,691,290.30/10,885.89
  6. Step 6: Final answer
    x = 8,514.81

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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.