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Finding the Fourth Proportional to 7,287.87, 10,057.23 and 4,144.06

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Solution

The fourth proportional to 7,287.87, 10,057.23 and 4,144.06 is: 5,718.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287.87 : 10,057.23 = 4,144.06 : x
  2. Step 2: Convert to fraction form
    7,287.87/10,057.23 = 4,144.06/x
  3. Step 3: Cross multiply
    7,287.87x = 10,057.23 × 4,144.06
  4. Step 4: Simplify right side
    7,287.87x = 41,677,764.55
  5. Step 5: Solve for x
    x = 41,677,764.55/7,287.87
  6. Step 6: Final answer
    x = 5,718.79

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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.