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Finding the Fourth Proportional to 7,184.68, 10,778.82 and 2,803.42

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Solution

The fourth proportional to 7,184.68, 10,778.82 and 2,803.42 is: 4,205.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.68 : 10,778.82 = 2,803.42 : x
  2. Step 2: Convert to fraction form
    7,184.68/10,778.82 = 2,803.42/x
  3. Step 3: Cross multiply
    7,184.68x = 10,778.82 × 2,803.42
  4. Step 4: Simplify right side
    7,184.68x = 30,217,559.56
  5. Step 5: Solve for x
    x = 30,217,559.56/7,184.68
  6. Step 6: Final answer
    x = 4,205.83

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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.