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Finding the Fourth Proportional to 7,205.94, 10,806.75 and 2,011.14

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Solution

The fourth proportional to 7,205.94, 10,806.75 and 2,011.14 is: 3,016.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.94 : 10,806.75 = 2,011.14 : x
  2. Step 2: Convert to fraction form
    7,205.94/10,806.75 = 2,011.14/x
  3. Step 3: Cross multiply
    7,205.94x = 10,806.75 × 2,011.14
  4. Step 4: Simplify right side
    7,205.94x = 21,733,887.20
  5. Step 5: Solve for x
    x = 21,733,887.20/7,205.94
  6. Step 6: Final answer
    x = 3,016.11

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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.