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Finding the Fourth Proportional to 8,219.87, 11,344.85 and 7,946.50

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Solution

The fourth proportional to 8,219.87, 11,344.85 and 7,946.50 is: 10,967.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.87 : 11,344.85 = 7,946.50 : x
  2. Step 2: Convert to fraction form
    8,219.87/11,344.85 = 7,946.50/x
  3. Step 3: Cross multiply
    8,219.87x = 11,344.85 × 7,946.50
  4. Step 4: Simplify right side
    8,219.87x = 90,151,782.43
  5. Step 5: Solve for x
    x = 90,151,782.43/8,219.87
  6. Step 6: Final answer
    x = 10,967.54

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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.