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Finding the Fourth Proportional to 7,760.81, 11,643.95 and 3,377.70

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Solution

The fourth proportional to 7,760.81, 11,643.95 and 3,377.70 is: 5,067.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.81 : 11,643.95 = 3,377.70 : x
  2. Step 2: Convert to fraction form
    7,760.81/11,643.95 = 3,377.70/x
  3. Step 3: Cross multiply
    7,760.81x = 11,643.95 × 3,377.70
  4. Step 4: Simplify right side
    7,760.81x = 39,329,778.36
  5. Step 5: Solve for x
    x = 39,329,778.36/7,760.81
  6. Step 6: Final answer
    x = 5,067.74

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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.