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Finding the Fourth Proportional to 10,136, 15,203.52 and 3,209.60

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Solution

The fourth proportional to 10,136, 15,203.52 and 3,209.60 is: 4,814.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,136 : 15,203.52 = 3,209.60 : x
  2. Step 2: Convert to fraction form
    10,136/15,203.52 = 3,209.60/x
  3. Step 3: Cross multiply
    10,136x = 15,203.52 × 3,209.60
  4. Step 4: Simplify right side
    10,136x = 48,797,217.79
  5. Step 5: Solve for x
    x = 48,797,217.79/10,136
  6. Step 6: Final answer
    x = 4,814.25

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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.