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Finding the Fourth Proportional to 10,885.57, 15,022.08 and 6,169.85

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Solution

The fourth proportional to 10,885.57, 15,022.08 and 6,169.85 is: 8,514.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,885.57 : 15,022.08 = 6,169.85 : x
  2. Step 2: Convert to fraction form
    10,885.57/15,022.08 = 6,169.85/x
  3. Step 3: Cross multiply
    10,885.57x = 15,022.08 × 6,169.85
  4. Step 4: Simplify right side
    10,885.57x = 92,683,905.18
  5. Step 5: Solve for x
    x = 92,683,905.18/10,885.57
  6. Step 6: Final answer
    x = 8,514.38

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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.