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Finding the Fourth Proportional to 8,641.87, 11,922.73 and 5,659.36

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Solution

The fourth proportional to 8,641.87, 11,922.73 and 5,659.36 is: 7,807.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641.87 : 11,922.73 = 5,659.36 : x
  2. Step 2: Convert to fraction form
    8,641.87/11,922.73 = 5,659.36/x
  3. Step 3: Cross multiply
    8,641.87x = 11,922.73 × 5,659.36
  4. Step 4: Simplify right side
    8,641.87x = 67,474,977.30
  5. Step 5: Solve for x
    x = 67,474,977.30/8,641.87
  6. Step 6: Final answer
    x = 7,807.92

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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.