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Finding the Fourth Proportional to 6,990.87, 10,475.22 and 4,213.92

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Solution

The fourth proportional to 6,990.87, 10,475.22 and 4,213.92 is: 6,314.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,990.87 : 10,475.22 = 4,213.92 : x
  2. Step 2: Convert to fraction form
    6,990.87/10,475.22 = 4,213.92/x
  3. Step 3: Cross multiply
    6,990.87x = 10,475.22 × 4,213.92
  4. Step 4: Simplify right side
    6,990.87x = 44,141,739.06
  5. Step 5: Solve for x
    x = 44,141,739.06/6,990.87
  6. Step 6: Final answer
    x = 6,314.20

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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.