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Finding the Fourth Proportional to 8,027.87, 11,076.80 and 5,509.06

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Solution

The fourth proportional to 8,027.87, 11,076.80 and 5,509.06 is: 7,601.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,027.87 : 11,076.80 = 5,509.06 : x
  2. Step 2: Convert to fraction form
    8,027.87/11,076.80 = 5,509.06/x
  3. Step 3: Cross multiply
    8,027.87x = 11,076.80 × 5,509.06
  4. Step 4: Simplify right side
    8,027.87x = 61,022,700.57
  5. Step 5: Solve for x
    x = 61,022,700.57/8,027.87
  6. Step 6: Final answer
    x = 7,601.36

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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.