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Finding the Fourth Proportional to 8,243.40, 12,356.82 and 4,086.42

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Solution

The fourth proportional to 8,243.40, 12,356.82 and 4,086.42 is: 6,125.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.40 : 12,356.82 = 4,086.42 : x
  2. Step 2: Convert to fraction form
    8,243.40/12,356.82 = 4,086.42/x
  3. Step 3: Cross multiply
    8,243.40x = 12,356.82 × 4,086.42
  4. Step 4: Simplify right side
    8,243.40x = 50,495,156.38
  5. Step 5: Solve for x
    x = 50,495,156.38/8,243.40
  6. Step 6: Final answer
    x = 6,125.53

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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.