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Finding the Fourth Proportional to 7,137.36, 10,709.10 and 3,677.04

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Solution

The fourth proportional to 7,137.36, 10,709.10 and 3,677.04 is: 5,517.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.36 : 10,709.10 = 3,677.04 : x
  2. Step 2: Convert to fraction form
    7,137.36/10,709.10 = 3,677.04/x
  3. Step 3: Cross multiply
    7,137.36x = 10,709.10 × 3,677.04
  4. Step 4: Simplify right side
    7,137.36x = 39,377,789.06
  5. Step 5: Solve for x
    x = 39,377,789.06/7,137.36
  6. Step 6: Final answer
    x = 5,517.14

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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.