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Finding the Fourth Proportional to 10,136.67, 15,204.90 and 3,211.17

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Solution

The fourth proportional to 10,136.67, 15,204.90 and 3,211.17 is: 4,816.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,136.67 : 15,204.90 = 3,211.17 : x
  2. Step 2: Convert to fraction form
    10,136.67/15,204.90 = 3,211.17/x
  3. Step 3: Cross multiply
    10,136.67x = 15,204.90 × 3,211.17
  4. Step 4: Simplify right side
    10,136.67x = 48,825,518.73
  5. Step 5: Solve for x
    x = 48,825,518.73/10,136.67
  6. Step 6: Final answer
    x = 4,816.72

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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.