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Finding the Fourth Proportional to 7,154.80, 10,727.87 and 3,205.33

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Solution

The fourth proportional to 7,154.80, 10,727.87 and 3,205.33 is: 4,806.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.80 : 10,727.87 = 3,205.33 : x
  2. Step 2: Convert to fraction form
    7,154.80/10,727.87 = 3,205.33/x
  3. Step 3: Cross multiply
    7,154.80x = 10,727.87 × 3,205.33
  4. Step 4: Simplify right side
    7,154.80x = 34,386,320.70
  5. Step 5: Solve for x
    x = 34,386,320.70/7,154.80
  6. Step 6: Final answer
    x = 4,806.05

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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.