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Finding the Fourth Proportional to 10,092.38, 13,929.65 and 6,368.54

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Solution

The fourth proportional to 10,092.38, 13,929.65 and 6,368.54 is: 8,789.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.38 : 13,929.65 = 6,368.54 : x
  2. Step 2: Convert to fraction form
    10,092.38/13,929.65 = 6,368.54/x
  3. Step 3: Cross multiply
    10,092.38x = 13,929.65 × 6,368.54
  4. Step 4: Simplify right side
    10,092.38x = 88,711,431.72
  5. Step 5: Solve for x
    x = 88,711,431.72/10,092.38
  6. Step 6: Final answer
    x = 8,789.95

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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.