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Finding the Fourth Proportional to 8,238.52, 12,353.67 and 3,304.09

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Solution

The fourth proportional to 8,238.52, 12,353.67 and 3,304.09 is: 4,954.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.52 : 12,353.67 = 3,304.09 : x
  2. Step 2: Convert to fraction form
    8,238.52/12,353.67 = 3,304.09/x
  3. Step 3: Cross multiply
    8,238.52x = 12,353.67 × 3,304.09
  4. Step 4: Simplify right side
    8,238.52x = 40,817,637.51
  5. Step 5: Solve for x
    x = 40,817,637.51/8,238.52
  6. Step 6: Final answer
    x = 4,954.49

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Why These Related Problems?

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