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Finding the Fourth Proportional to 8,197.78, 12,296.67 and 3,810.11

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Solution

The fourth proportional to 8,197.78, 12,296.67 and 3,810.11 is: 5,715.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.78 : 12,296.67 = 3,810.11 : x
  2. Step 2: Convert to fraction form
    8,197.78/12,296.67 = 3,810.11/x
  3. Step 3: Cross multiply
    8,197.78x = 12,296.67 × 3,810.11
  4. Step 4: Simplify right side
    8,197.78x = 46,851,665.33
  5. Step 5: Solve for x
    x = 46,851,665.33/8,197.78
  6. Step 6: Final answer
    x = 5,715.17

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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.