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Finding the Fourth Proportional to 10,092.54, 15,117.97 and 5,919.99

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Solution

The fourth proportional to 10,092.54, 15,117.97 and 5,919.99 is: 8,867.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.54 : 15,117.97 = 5,919.99 : x
  2. Step 2: Convert to fraction form
    10,092.54/15,117.97 = 5,919.99/x
  3. Step 3: Cross multiply
    10,092.54x = 15,117.97 × 5,919.99
  4. Step 4: Simplify right side
    10,092.54x = 89,498,231.22
  5. Step 5: Solve for x
    x = 89,498,231.22/10,092.54
  6. Step 6: Final answer
    x = 8,867.76

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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.