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Finding the Fourth Proportional to 7,677.66, 11,491.73 and 3,974.80

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Solution

The fourth proportional to 7,677.66, 11,491.73 and 3,974.80 is: 5,949.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.66 : 11,491.73 = 3,974.80 : x
  2. Step 2: Convert to fraction form
    7,677.66/11,491.73 = 3,974.80/x
  3. Step 3: Cross multiply
    7,677.66x = 11,491.73 × 3,974.80
  4. Step 4: Simplify right side
    7,677.66x = 45,677,328.40
  5. Step 5: Solve for x
    x = 45,677,328.40/7,677.66
  6. Step 6: Final answer
    x = 5,949.38

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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.