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Finding the Fourth Proportional to 8,238.33, 11,374.14 and 5,410.71

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Solution

The fourth proportional to 8,238.33, 11,374.14 and 5,410.71 is: 7,470.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.33 : 11,374.14 = 5,410.71 : x
  2. Step 2: Convert to fraction form
    8,238.33/11,374.14 = 5,410.71/x
  3. Step 3: Cross multiply
    8,238.33x = 11,374.14 × 5,410.71
  4. Step 4: Simplify right side
    8,238.33x = 61,542,173.04
  5. Step 5: Solve for x
    x = 61,542,173.04/8,238.33
  6. Step 6: Final answer
    x = 7,470.22

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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.