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Finding the Fourth Proportional to 8,093.30, 12,142.85 and 3,166.47

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Solution

The fourth proportional to 8,093.30, 12,142.85 and 3,166.47 is: 4,750.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.30 : 12,142.85 = 3,166.47 : x
  2. Step 2: Convert to fraction form
    8,093.30/12,142.85 = 3,166.47/x
  3. Step 3: Cross multiply
    8,093.30x = 12,142.85 × 3,166.47
  4. Step 4: Simplify right side
    8,093.30x = 38,449,954.41
  5. Step 5: Solve for x
    x = 38,449,954.41/8,093.30
  6. Step 6: Final answer
    x = 4,750.84

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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.