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Finding the Fourth Proportional to 11,866.60, 17,793.88 and 3,966.28

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Solution

The fourth proportional to 11,866.60, 17,793.88 and 3,966.28 is: 5,947.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.60 : 17,793.88 = 3,966.28 : x
  2. Step 2: Convert to fraction form
    11,866.60/17,793.88 = 3,966.28/x
  3. Step 3: Cross multiply
    11,866.60x = 17,793.88 × 3,966.28
  4. Step 4: Simplify right side
    11,866.60x = 70,575,510.37
  5. Step 5: Solve for x
    x = 70,575,510.37/11,866.60
  6. Step 6: Final answer
    x = 5,947.41

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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.