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Finding the Fourth Proportional to 10,722.92, 14,797.22 and 6,006.96

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Solution

The fourth proportional to 10,722.92, 14,797.22 and 6,006.96 is: 8,289.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,722.92 : 14,797.22 = 6,006.96 : x
  2. Step 2: Convert to fraction form
    10,722.92/14,797.22 = 6,006.96/x
  3. Step 3: Cross multiply
    10,722.92x = 14,797.22 × 6,006.96
  4. Step 4: Simplify right side
    10,722.92x = 88,886,278.62
  5. Step 5: Solve for x
    x = 88,886,278.62/10,722.92
  6. Step 6: Final answer
    x = 8,289.38

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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.