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Finding the Fourth Proportional to 8,744.36, 12,072.24 and 5,759.10

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Solution

The fourth proportional to 8,744.36, 12,072.24 and 5,759.10 is: 7,950.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,744.36 : 12,072.24 = 5,759.10 : x
  2. Step 2: Convert to fraction form
    8,744.36/12,072.24 = 5,759.10/x
  3. Step 3: Cross multiply
    8,744.36x = 12,072.24 × 5,759.10
  4. Step 4: Simplify right side
    8,744.36x = 69,525,237.38
  5. Step 5: Solve for x
    x = 69,525,237.38/8,744.36
  6. Step 6: Final answer
    x = 7,950.87

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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.