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Finding the Fourth Proportional to 8,082.78, 12,136.91 and 4,810.47

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Solution

The fourth proportional to 8,082.78, 12,136.91 and 4,810.47 is: 7,223.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.78 : 12,136.91 = 4,810.47 : x
  2. Step 2: Convert to fraction form
    8,082.78/12,136.91 = 4,810.47/x
  3. Step 3: Cross multiply
    8,082.78x = 12,136.91 × 4,810.47
  4. Step 4: Simplify right side
    8,082.78x = 58,384,241.45
  5. Step 5: Solve for x
    x = 58,384,241.45/8,082.78
  6. Step 6: Final answer
    x = 7,223.29

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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.