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Finding the Fourth Proportional to 11,167.56, 16,751.31 and 5,306.40

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Solution

The fourth proportional to 11,167.56, 16,751.31 and 5,306.40 is: 7,959.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,167.56 : 16,751.31 = 5,306.40 : x
  2. Step 2: Convert to fraction form
    11,167.56/16,751.31 = 5,306.40/x
  3. Step 3: Cross multiply
    11,167.56x = 16,751.31 × 5,306.40
  4. Step 4: Simplify right side
    11,167.56x = 88,889,151.38
  5. Step 5: Solve for x
    x = 88,889,151.38/11,167.56
  6. Step 6: Final answer
    x = 7,959.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.