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Finding the Fourth Proportional to 11,806.84, 17,697.30 and 4,009.78

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Solution

The fourth proportional to 11,806.84, 17,697.30 and 4,009.78 is: 6,010.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.84 : 17,697.30 = 4,009.78 : x
  2. Step 2: Convert to fraction form
    11,806.84/17,697.30 = 4,009.78/x
  3. Step 3: Cross multiply
    11,806.84x = 17,697.30 × 4,009.78
  4. Step 4: Simplify right side
    11,806.84x = 70,962,279.59
  5. Step 5: Solve for x
    x = 70,962,279.59/11,806.84
  6. Step 6: Final answer
    x = 6,010.27

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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.