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Finding the Fourth Proportional to 10,205.66, 15,306.50 and 2,808.22

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Solution

The fourth proportional to 10,205.66, 15,306.50 and 2,808.22 is: 4,211.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.66 : 15,306.50 = 2,808.22 : x
  2. Step 2: Convert to fraction form
    10,205.66/15,306.50 = 2,808.22/x
  3. Step 3: Cross multiply
    10,205.66x = 15,306.50 × 2,808.22
  4. Step 4: Simplify right side
    10,205.66x = 42,984,019.43
  5. Step 5: Solve for x
    x = 42,984,019.43/10,205.66
  6. Step 6: Final answer
    x = 4,211.78

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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.