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Finding the Fourth Proportional to 7,205.74, 10,808.70 and 2,012.02

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Solution

The fourth proportional to 7,205.74, 10,808.70 and 2,012.02 is: 3,018.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.74 : 10,808.70 = 2,012.02 : x
  2. Step 2: Convert to fraction form
    7,205.74/10,808.70 = 2,012.02/x
  3. Step 3: Cross multiply
    7,205.74x = 10,808.70 × 2,012.02
  4. Step 4: Simplify right side
    7,205.74x = 21,747,320.57
  5. Step 5: Solve for x
    x = 21,747,320.57/7,205.74
  6. Step 6: Final answer
    x = 3,018.06

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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.