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Finding the Fourth Proportional to 7,571.26, 10,439.40 and 5,182.39

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Solution

The fourth proportional to 7,571.26, 10,439.40 and 5,182.39 is: 7,145.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.26 : 10,439.40 = 5,182.39 : x
  2. Step 2: Convert to fraction form
    7,571.26/10,439.40 = 5,182.39/x
  3. Step 3: Cross multiply
    7,571.26x = 10,439.40 × 5,182.39
  4. Step 4: Simplify right side
    7,571.26x = 54,101,042.17
  5. Step 5: Solve for x
    x = 54,101,042.17/7,571.26
  6. Step 6: Final answer
    x = 7,145.58

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