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Finding the Fourth Proportional to 8,238.38, 12,357.56 and 3,044.25

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Solution

The fourth proportional to 8,238.38, 12,357.56 and 3,044.25 is: 4,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.38 : 12,357.56 = 3,044.25 : x
  2. Step 2: Convert to fraction form
    8,238.38/12,357.56 = 3,044.25/x
  3. Step 3: Cross multiply
    8,238.38x = 12,357.56 × 3,044.25
  4. Step 4: Simplify right side
    8,238.38x = 37,619,509.64
  5. Step 5: Solve for x
    x = 37,619,509.64/8,238.38
  6. Step 6: Final answer
    x = 4,566.38

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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.