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Finding the Fourth Proportional to 13,086.12, 18,059.04 and 7,781.52

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Solution

The fourth proportional to 13,086.12, 18,059.04 and 7,781.52 is: 10,738.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,086.12 : 18,059.04 = 7,781.52 : x
  2. Step 2: Convert to fraction form
    13,086.12/18,059.04 = 7,781.52/x
  3. Step 3: Cross multiply
    13,086.12x = 18,059.04 × 7,781.52
  4. Step 4: Simplify right side
    13,086.12x = 140,526,780.94
  5. Step 5: Solve for x
    x = 140,526,780.94/13,086.12
  6. Step 6: Final answer
    x = 10,738.61

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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.