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Finding the Fourth Proportional to 7,322.31, 10,105.07 and 4,136.28

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Solution

The fourth proportional to 7,322.31, 10,105.07 and 4,136.28 is: 5,708.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,322.31 : 10,105.07 = 4,136.28 : x
  2. Step 2: Convert to fraction form
    7,322.31/10,105.07 = 4,136.28/x
  3. Step 3: Cross multiply
    7,322.31x = 10,105.07 × 4,136.28
  4. Step 4: Simplify right side
    7,322.31x = 41,797,378.26
  5. Step 5: Solve for x
    x = 41,797,378.26/7,322.31
  6. Step 6: Final answer
    x = 5,708.22

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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.