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Finding the Fourth Proportional to 7,155.96, 10,732.13 and 3,205.01

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Solution

The fourth proportional to 7,155.96, 10,732.13 and 3,205.01 is: 4,806.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,155.96 : 10,732.13 = 3,205.01 : x
  2. Step 2: Convert to fraction form
    7,155.96/10,732.13 = 3,205.01/x
  3. Step 3: Cross multiply
    7,155.96x = 10,732.13 × 3,205.01
  4. Step 4: Simplify right side
    7,155.96x = 34,396,583.97
  5. Step 5: Solve for x
    x = 34,396,583.97/7,155.96
  6. Step 6: Final answer
    x = 4,806.70

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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.