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Finding the Fourth Proportional to 10,136.81, 15,207.65 and 3,211.31

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Solution

The fourth proportional to 10,136.81, 15,207.65 and 3,211.31 is: 4,817.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,136.81 : 15,207.65 = 3,211.31 : x
  2. Step 2: Convert to fraction form
    10,136.81/15,207.65 = 3,211.31/x
  3. Step 3: Cross multiply
    10,136.81x = 15,207.65 × 3,211.31
  4. Step 4: Simplify right side
    10,136.81x = 48,836,512.53
  5. Step 5: Solve for x
    x = 48,836,512.53/10,136.81
  6. Step 6: Final answer
    x = 4,817.74

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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.