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Finding the Fourth Proportional to 11,027.80, 16,534.14 and 5,185

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Solution

The fourth proportional to 11,027.80, 16,534.14 and 5,185 is: 7,773.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,027.80 : 16,534.14 = 5,185 : x
  2. Step 2: Convert to fraction form
    11,027.80/16,534.14 = 5,185/x
  3. Step 3: Cross multiply
    11,027.80x = 16,534.14 × 5,185
  4. Step 4: Simplify right side
    11,027.80x = 85,729,515.90
  5. Step 5: Solve for x
    x = 85,729,515.90/11,027.80
  6. Step 6: Final answer
    x = 7,773.95

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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.