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Finding the Fourth Proportional to 7,813.38, 11,722.24 and 3,919.98

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Solution

The fourth proportional to 7,813.38, 11,722.24 and 3,919.98 is: 5,881.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.38 : 11,722.24 = 3,919.98 : x
  2. Step 2: Convert to fraction form
    7,813.38/11,722.24 = 3,919.98/x
  3. Step 3: Cross multiply
    7,813.38x = 11,722.24 × 3,919.98
  4. Step 4: Simplify right side
    7,813.38x = 45,950,946.36
  5. Step 5: Solve for x
    x = 45,950,946.36/7,813.38
  6. Step 6: Final answer
    x = 5,881.06

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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.