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Finding the Fourth Proportional to 8,239.23, 11,374.97 and 5,411.12

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Solution

The fourth proportional to 8,239.23, 11,374.97 and 5,411.12 is: 7,470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.23 : 11,374.97 = 5,411.12 : x
  2. Step 2: Convert to fraction form
    8,239.23/11,374.97 = 5,411.12/x
  3. Step 3: Cross multiply
    8,239.23x = 11,374.97 × 5,411.12
  4. Step 4: Simplify right side
    8,239.23x = 61,551,243.74
  5. Step 5: Solve for x
    x = 61,551,243.74/8,239.23
  6. Step 6: Final answer
    x = 7,470.51

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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.