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Finding the Fourth Proportional to 7,471.08, 11,207.14 and 2,206.02

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Solution

The fourth proportional to 7,471.08, 11,207.14 and 2,206.02 is: 3,309.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.08 : 11,207.14 = 2,206.02 : x
  2. Step 2: Convert to fraction form
    7,471.08/11,207.14 = 2,206.02/x
  3. Step 3: Cross multiply
    7,471.08x = 11,207.14 × 2,206.02
  4. Step 4: Simplify right side
    7,471.08x = 24,723,174.98
  5. Step 5: Solve for x
    x = 24,723,174.98/7,471.08
  6. Step 6: Final answer
    x = 3,309.18

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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.