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Finding the Fourth Proportional to 7,806.44, 11,703.18 and 3,644.30

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Solution

The fourth proportional to 7,806.44, 11,703.18 and 3,644.30 is: 5,463.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.44 : 11,703.18 = 3,644.30 : x
  2. Step 2: Convert to fraction form
    7,806.44/11,703.18 = 3,644.30/x
  3. Step 3: Cross multiply
    7,806.44x = 11,703.18 × 3,644.30
  4. Step 4: Simplify right side
    7,806.44x = 42,649,898.87
  5. Step 5: Solve for x
    x = 42,649,898.87/7,806.44
  6. Step 6: Final answer
    x = 5,463.42

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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.