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Finding the Fourth Proportional to 7,144.80, 10,718.46 and 2,464.44

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Solution

The fourth proportional to 7,144.80, 10,718.46 and 2,464.44 is: 3,697.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.80 : 10,718.46 = 2,464.44 : x
  2. Step 2: Convert to fraction form
    7,144.80/10,718.46 = 2,464.44/x
  3. Step 3: Cross multiply
    7,144.80x = 10,718.46 × 2,464.44
  4. Step 4: Simplify right side
    7,144.80x = 26,415,001.56
  5. Step 5: Solve for x
    x = 26,415,001.56/7,144.80
  6. Step 6: Final answer
    x = 3,697.09

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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.