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Finding the Fourth Proportional to 7,883.92, 11,833.08 and 3,991.04

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Solution

The fourth proportional to 7,883.92, 11,833.08 and 3,991.04 is: 5,990.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.92 : 11,833.08 = 3,991.04 : x
  2. Step 2: Convert to fraction form
    7,883.92/11,833.08 = 3,991.04/x
  3. Step 3: Cross multiply
    7,883.92x = 11,833.08 × 3,991.04
  4. Step 4: Simplify right side
    7,883.92x = 47,226,295.60
  5. Step 5: Solve for x
    x = 47,226,295.60/7,883.92
  6. Step 6: Final answer
    x = 5,990.20

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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.