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Finding the Fourth Proportional to 11,866.06, 17,800.91 and 3,966.13

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Solution

The fourth proportional to 11,866.06, 17,800.91 and 3,966.13 is: 5,949.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.06 : 17,800.91 = 3,966.13 : x
  2. Step 2: Convert to fraction form
    11,866.06/17,800.91 = 3,966.13/x
  3. Step 3: Cross multiply
    11,866.06x = 17,800.91 × 3,966.13
  4. Step 4: Simplify right side
    11,866.06x = 70,600,762.78
  5. Step 5: Solve for x
    x = 70,600,762.78/11,866.06
  6. Step 6: Final answer
    x = 5,949.81

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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.