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Finding the Fourth Proportional to 8,236.47, 12,357.02 and 3,309.57

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Solution

The fourth proportional to 8,236.47, 12,357.02 and 3,309.57 is: 4,965.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,236.47 : 12,357.02 = 3,309.57 : x
  2. Step 2: Convert to fraction form
    8,236.47/12,357.02 = 3,309.57/x
  3. Step 3: Cross multiply
    8,236.47x = 12,357.02 × 3,309.57
  4. Step 4: Simplify right side
    8,236.47x = 40,896,422.68
  5. Step 5: Solve for x
    x = 40,896,422.68/8,236.47
  6. Step 6: Final answer
    x = 4,965.29

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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.