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Finding the Fourth Proportional to 11,808.80, 17,724.14 and 5,969.52

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Solution

The fourth proportional to 11,808.80, 17,724.14 and 5,969.52 is: 8,959.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.80 : 17,724.14 = 5,969.52 : x
  2. Step 2: Convert to fraction form
    11,808.80/17,724.14 = 5,969.52/x
  3. Step 3: Cross multiply
    11,808.80x = 17,724.14 × 5,969.52
  4. Step 4: Simplify right side
    11,808.80x = 105,804,608.21
  5. Step 5: Solve for x
    x = 105,804,608.21/11,808.80
  6. Step 6: Final answer
    x = 8,959.81

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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.