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Finding the Fourth Proportional to 7,473.14, 11,207.08 and 2,206.74

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Solution

The fourth proportional to 7,473.14, 11,207.08 and 2,206.74 is: 3,309.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,473.14 : 11,207.08 = 2,206.74 : x
  2. Step 2: Convert to fraction form
    7,473.14/11,207.08 = 2,206.74/x
  3. Step 3: Cross multiply
    7,473.14x = 11,207.08 × 2,206.74
  4. Step 4: Simplify right side
    7,473.14x = 24,731,106.20
  5. Step 5: Solve for x
    x = 24,731,106.20/7,473.14
  6. Step 6: Final answer
    x = 3,309.33

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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.