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Finding the Fourth Proportional to 10,863.92, 14,992.34 and 6,327.76

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Solution

The fourth proportional to 10,863.92, 14,992.34 and 6,327.76 is: 8,732.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,863.92 : 14,992.34 = 6,327.76 : x
  2. Step 2: Convert to fraction form
    10,863.92/14,992.34 = 6,327.76/x
  3. Step 3: Cross multiply
    10,863.92x = 14,992.34 × 6,327.76
  4. Step 4: Simplify right side
    10,863.92x = 94,867,929.36
  5. Step 5: Solve for x
    x = 94,867,929.36/10,863.92
  6. Step 6: Final answer
    x = 8,732.38

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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.