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Finding the Fourth Proportional to 11,036, 15,229.92 and 6,068

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Solution

The fourth proportional to 11,036, 15,229.92 and 6,068 is: 8,373.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,036 : 15,229.92 = 6,068 : x
  2. Step 2: Convert to fraction form
    11,036/15,229.92 = 6,068/x
  3. Step 3: Cross multiply
    11,036x = 15,229.92 × 6,068
  4. Step 4: Simplify right side
    11,036x = 92,415,154.56
  5. Step 5: Solve for x
    x = 92,415,154.56/11,036
  6. Step 6: Final answer
    x = 8,373.97

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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.