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Finding the Fourth Proportional to 11,230.38, 15,498.04 and 6,194.76

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Solution

The fourth proportional to 11,230.38, 15,498.04 and 6,194.76 is: 8,548.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,230.38 : 15,498.04 = 6,194.76 : x
  2. Step 2: Convert to fraction form
    11,230.38/15,498.04 = 6,194.76/x
  3. Step 3: Cross multiply
    11,230.38x = 15,498.04 × 6,194.76
  4. Step 4: Simplify right side
    11,230.38x = 96,006,638.27
  5. Step 5: Solve for x
    x = 96,006,638.27/11,230.38
  6. Step 6: Final answer
    x = 8,548.83

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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.