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Finding the Fourth Proportional to 7,287.94, 10,057.46 and 4,144.12

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Solution

The fourth proportional to 7,287.94, 10,057.46 and 4,144.12 is: 5,718.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287.94 : 10,057.46 = 4,144.12 : x
  2. Step 2: Convert to fraction form
    7,287.94/10,057.46 = 4,144.12/x
  3. Step 3: Cross multiply
    7,287.94x = 10,057.46 × 4,144.12
  4. Step 4: Simplify right side
    7,287.94x = 41,679,321.14
  5. Step 5: Solve for x
    x = 41,679,321.14/7,287.94
  6. Step 6: Final answer
    x = 5,718.94

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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.