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Finding the Fourth Proportional to 7,471.60, 11,208.87 and 2,206.70

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Solution

The fourth proportional to 7,471.60, 11,208.87 and 2,206.70 is: 3,310.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.60 : 11,208.87 = 2,206.70 : x
  2. Step 2: Convert to fraction form
    7,471.60/11,208.87 = 2,206.70/x
  3. Step 3: Cross multiply
    7,471.60x = 11,208.87 × 2,206.70
  4. Step 4: Simplify right side
    7,471.60x = 24,734,551.87
  5. Step 5: Solve for x
    x = 24,734,551.87/7,471.60
  6. Step 6: Final answer
    x = 3,310.48

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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.