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Finding the Fourth Proportional to 7,846.50, 10,828.20 and 4,489.34

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Solution

The fourth proportional to 7,846.50, 10,828.20 and 4,489.34 is: 6,195.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.50 : 10,828.20 = 4,489.34 : x
  2. Step 2: Convert to fraction form
    7,846.50/10,828.20 = 4,489.34/x
  3. Step 3: Cross multiply
    7,846.50x = 10,828.20 × 4,489.34
  4. Step 4: Simplify right side
    7,846.50x = 48,611,471.39
  5. Step 5: Solve for x
    x = 48,611,471.39/7,846.50
  6. Step 6: Final answer
    x = 6,195.31

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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.