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Finding the Fourth Proportional to 10,136, 15,197.28 and 5,755.52

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Solution

The fourth proportional to 10,136, 15,197.28 and 5,755.52 is: 8,629.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,136 : 15,197.28 = 5,755.52 : x
  2. Step 2: Convert to fraction form
    10,136/15,197.28 = 5,755.52/x
  3. Step 3: Cross multiply
    10,136x = 15,197.28 × 5,755.52
  4. Step 4: Simplify right side
    10,136x = 87,468,248.99
  5. Step 5: Solve for x
    x = 87,468,248.99/10,136
  6. Step 6: Final answer
    x = 8,629.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.