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Finding the Fourth Proportional to 7,906.64, 11,862.11 and 2,712.92

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Solution

The fourth proportional to 7,906.64, 11,862.11 and 2,712.92 is: 4,070.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.64 : 11,862.11 = 2,712.92 : x
  2. Step 2: Convert to fraction form
    7,906.64/11,862.11 = 2,712.92/x
  3. Step 3: Cross multiply
    7,906.64x = 11,862.11 × 2,712.92
  4. Step 4: Simplify right side
    7,906.64x = 32,180,902.93
  5. Step 5: Solve for x
    x = 32,180,902.93/7,906.64
  6. Step 6: Final answer
    x = 4,070.11

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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.