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Finding the Fourth Proportional to 7,478.10, 11,217.46 and 2,797.62

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Solution

The fourth proportional to 7,478.10, 11,217.46 and 2,797.62 is: 4,196.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.10 : 11,217.46 = 2,797.62 : x
  2. Step 2: Convert to fraction form
    7,478.10/11,217.46 = 2,797.62/x
  3. Step 3: Cross multiply
    7,478.10x = 11,217.46 × 2,797.62
  4. Step 4: Simplify right side
    7,478.10x = 31,382,190.45
  5. Step 5: Solve for x
    x = 31,382,190.45/7,478.10
  6. Step 6: Final answer
    x = 4,196.55

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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.