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Finding the Fourth Proportional to 11,971.80, 17,957.03 and 5,306.39

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Solution

The fourth proportional to 11,971.80, 17,957.03 and 5,306.39 is: 7,959.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,971.80 : 17,957.03 = 5,306.39 : x
  2. Step 2: Convert to fraction form
    11,971.80/17,957.03 = 5,306.39/x
  3. Step 3: Cross multiply
    11,971.80x = 17,957.03 × 5,306.39
  4. Step 4: Simplify right side
    11,971.80x = 95,286,888.10
  5. Step 5: Solve for x
    x = 95,286,888.10/11,971.80
  6. Step 6: Final answer
    x = 7,959.28

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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.