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Finding the Fourth Proportional to 8,363.82, 12,534.80 and 3,427.68

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Solution

The fourth proportional to 8,363.82, 12,534.80 and 3,427.68 is: 5,137.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,363.82 : 12,534.80 = 3,427.68 : x
  2. Step 2: Convert to fraction form
    8,363.82/12,534.80 = 3,427.68/x
  3. Step 3: Cross multiply
    8,363.82x = 12,534.80 × 3,427.68
  4. Step 4: Simplify right side
    8,363.82x = 42,965,283.26
  5. Step 5: Solve for x
    x = 42,965,283.26/8,363.82
  6. Step 6: Final answer
    x = 5,137.04

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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.