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Finding the Fourth Proportional to 10,593.78, 15,884.49 and 3,196.02

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Solution

The fourth proportional to 10,593.78, 15,884.49 and 3,196.02 is: 4,792.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,593.78 : 15,884.49 = 3,196.02 : x
  2. Step 2: Convert to fraction form
    10,593.78/15,884.49 = 3,196.02/x
  3. Step 3: Cross multiply
    10,593.78x = 15,884.49 × 3,196.02
  4. Step 4: Simplify right side
    10,593.78x = 50,767,147.73
  5. Step 5: Solve for x
    x = 50,767,147.73/10,593.78
  6. Step 6: Final answer
    x = 4,792.17

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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.