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Finding the Fourth Proportional to 8,662.83, 11,943.09 and 5,677.58

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Solution

The fourth proportional to 8,662.83, 11,943.09 and 5,677.58 is: 7,827.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,662.83 : 11,943.09 = 5,677.58 : x
  2. Step 2: Convert to fraction form
    8,662.83/11,943.09 = 5,677.58/x
  3. Step 3: Cross multiply
    8,662.83x = 11,943.09 × 5,677.58
  4. Step 4: Simplify right side
    8,662.83x = 67,807,789.21
  5. Step 5: Solve for x
    x = 67,807,789.21/8,662.83
  6. Step 6: Final answer
    x = 7,827.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.