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Finding the Fourth Proportional to 7,839.09, 11,801.41 and 7,150.19

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Solution

The fourth proportional to 7,839.09, 11,801.41 and 7,150.19 is: 10,764.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839.09 : 11,801.41 = 7,150.19 : x
  2. Step 2: Convert to fraction form
    7,839.09/11,801.41 = 7,150.19/x
  3. Step 3: Cross multiply
    7,839.09x = 11,801.41 × 7,150.19
  4. Step 4: Simplify right side
    7,839.09x = 84,382,246.89
  5. Step 5: Solve for x
    x = 84,382,246.89/7,839.09
  6. Step 6: Final answer
    x = 10,764.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.