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Finding the Fourth Proportional to 7,792.92, 11,691.54 and 4,094.28

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Solution

The fourth proportional to 7,792.92, 11,691.54 and 4,094.28 is: 6,142.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.92 : 11,691.54 = 4,094.28 : x
  2. Step 2: Convert to fraction form
    7,792.92/11,691.54 = 4,094.28/x
  3. Step 3: Cross multiply
    7,792.92x = 11,691.54 × 4,094.28
  4. Step 4: Simplify right side
    7,792.92x = 47,868,438.39
  5. Step 5: Solve for x
    x = 47,868,438.39/7,792.92
  6. Step 6: Final answer
    x = 6,142.55

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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.