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Finding the Fourth Proportional to 8,193.38, 11,302.28 and 5,676.95

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Solution

The fourth proportional to 8,193.38, 11,302.28 and 5,676.95 is: 7,831.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.38 : 11,302.28 = 5,676.95 : x
  2. Step 2: Convert to fraction form
    8,193.38/11,302.28 = 5,676.95/x
  3. Step 3: Cross multiply
    8,193.38x = 11,302.28 × 5,676.95
  4. Step 4: Simplify right side
    8,193.38x = 64,162,499.61
  5. Step 5: Solve for x
    x = 64,162,499.61/8,193.38
  6. Step 6: Final answer
    x = 7,831.02

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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.