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Finding the Fourth Proportional to 11,304.75, 15,605.97 and 7,950.42

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Solution

The fourth proportional to 11,304.75, 15,605.97 and 7,950.42 is: 10,975.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,304.75 : 15,605.97 = 7,950.42 : x
  2. Step 2: Convert to fraction form
    11,304.75/15,605.97 = 7,950.42/x
  3. Step 3: Cross multiply
    11,304.75x = 15,605.97 × 7,950.42
  4. Step 4: Simplify right side
    11,304.75x = 124,074,016.01
  5. Step 5: Solve for x
    x = 124,074,016.01/11,304.75
  6. Step 6: Final answer
    x = 10,975.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.