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Finding the Fourth Proportional to 7,813.77, 11,722.13 and 2,883.79

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Solution

The fourth proportional to 7,813.77, 11,722.13 and 2,883.79 is: 4,326.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.77 : 11,722.13 = 2,883.79 : x
  2. Step 2: Convert to fraction form
    7,813.77/11,722.13 = 2,883.79/x
  3. Step 3: Cross multiply
    7,813.77x = 11,722.13 × 2,883.79
  4. Step 4: Simplify right side
    7,813.77x = 33,804,161.27
  5. Step 5: Solve for x
    x = 33,804,161.27/7,813.77
  6. Step 6: Final answer
    x = 4,326.23

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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.