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Finding the Fourth Proportional to 10,089.96, 15,136.40 and 3,165

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Solution

The fourth proportional to 10,089.96, 15,136.40 and 3,165 is: 4,747.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089.96 : 15,136.40 = 3,165 : x
  2. Step 2: Convert to fraction form
    10,089.96/15,136.40 = 3,165/x
  3. Step 3: Cross multiply
    10,089.96x = 15,136.40 × 3,165
  4. Step 4: Simplify right side
    10,089.96x = 47,906,706
  5. Step 5: Solve for x
    x = 47,906,706/10,089.96
  6. Step 6: Final answer
    x = 4,747.96

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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.