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Finding the Fourth Proportional to 8,182.35, 12,263.21 and 3,496.82

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Solution

The fourth proportional to 8,182.35, 12,263.21 and 3,496.82 is: 5,240.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.35 : 12,263.21 = 3,496.82 : x
  2. Step 2: Convert to fraction form
    8,182.35/12,263.21 = 3,496.82/x
  3. Step 3: Cross multiply
    8,182.35x = 12,263.21 × 3,496.82
  4. Step 4: Simplify right side
    8,182.35x = 42,882,159.19
  5. Step 5: Solve for x
    x = 42,882,159.19/8,182.35
  6. Step 6: Final answer
    x = 5,240.81

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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.