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Finding the Fourth Proportional to 7,238.25, 10,857.42 and 2,044.17

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Solution

The fourth proportional to 7,238.25, 10,857.42 and 2,044.17 is: 3,066.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.25 : 10,857.42 = 2,044.17 : x
  2. Step 2: Convert to fraction form
    7,238.25/10,857.42 = 2,044.17/x
  3. Step 3: Cross multiply
    7,238.25x = 10,857.42 × 2,044.17
  4. Step 4: Simplify right side
    7,238.25x = 22,194,412.24
  5. Step 5: Solve for x
    x = 22,194,412.24/7,238.25
  6. Step 6: Final answer
    x = 3,066.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.