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Finding the Fourth Proportional to 10,974.49, 16,452.01 and 4,396.17

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Solution

The fourth proportional to 10,974.49, 16,452.01 and 4,396.17 is: 6,590.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974.49 : 16,452.01 = 4,396.17 : x
  2. Step 2: Convert to fraction form
    10,974.49/16,452.01 = 4,396.17/x
  3. Step 3: Cross multiply
    10,974.49x = 16,452.01 × 4,396.17
  4. Step 4: Simplify right side
    10,974.49x = 72,325,899.99
  5. Step 5: Solve for x
    x = 72,325,899.99/10,974.49
  6. Step 6: Final answer
    x = 6,590.37

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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.