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Finding the Fourth Proportional to 8,238.82, 11,374.81 and 5,411.21

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Solution

The fourth proportional to 8,238.82, 11,374.81 and 5,411.21 is: 7,470.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.82 : 11,374.81 = 5,411.21 : x
  2. Step 2: Convert to fraction form
    8,238.82/11,374.81 = 5,411.21/x
  3. Step 3: Cross multiply
    8,238.82x = 11,374.81 × 5,411.21
  4. Step 4: Simplify right side
    8,238.82x = 61,551,485.62
  5. Step 5: Solve for x
    x = 61,551,485.62/8,238.82
  6. Step 6: Final answer
    x = 7,470.91

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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.