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Finding the Fourth Proportional to 7,694.81, 11,545.41 and 3,690.17

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Solution

The fourth proportional to 7,694.81, 11,545.41 and 3,690.17 is: 5,536.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.81 : 11,545.41 = 3,690.17 : x
  2. Step 2: Convert to fraction form
    7,694.81/11,545.41 = 3,690.17/x
  3. Step 3: Cross multiply
    7,694.81x = 11,545.41 × 3,690.17
  4. Step 4: Simplify right side
    7,694.81x = 42,604,525.62
  5. Step 5: Solve for x
    x = 42,604,525.62/7,694.81
  6. Step 6: Final answer
    x = 5,536.79

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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.