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Finding the Fourth Proportional to 7,844.92, 11,773.86 and 3,231.16

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Solution

The fourth proportional to 7,844.92, 11,773.86 and 3,231.16 is: 4,849.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.92 : 11,773.86 = 3,231.16 : x
  2. Step 2: Convert to fraction form
    7,844.92/11,773.86 = 3,231.16/x
  3. Step 3: Cross multiply
    7,844.92x = 11,773.86 × 3,231.16
  4. Step 4: Simplify right side
    7,844.92x = 38,043,225.48
  5. Step 5: Solve for x
    x = 38,043,225.48/7,844.92
  6. Step 6: Final answer
    x = 4,849.41

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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.