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Finding the Fourth Proportional to 8,473.50, 11,693.43 and 5,161.50

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Solution

The fourth proportional to 8,473.50, 11,693.43 and 5,161.50 is: 7,122.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,473.50 : 11,693.43 = 5,161.50 : x
  2. Step 2: Convert to fraction form
    8,473.50/11,693.43 = 5,161.50/x
  3. Step 3: Cross multiply
    8,473.50x = 11,693.43 × 5,161.50
  4. Step 4: Simplify right side
    8,473.50x = 60,355,638.95
  5. Step 5: Solve for x
    x = 60,355,638.95/8,473.50
  6. Step 6: Final answer
    x = 7,122.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.