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Finding the Fourth Proportional to 11,027.66, 16,534.84 and 4,446.17

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Solution

The fourth proportional to 11,027.66, 16,534.84 and 4,446.17 is: 6,666.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,027.66 : 16,534.84 = 4,446.17 : x
  2. Step 2: Convert to fraction form
    11,027.66/16,534.84 = 4,446.17/x
  3. Step 3: Cross multiply
    11,027.66x = 16,534.84 × 4,446.17
  4. Step 4: Simplify right side
    11,027.66x = 73,516,739.78
  5. Step 5: Solve for x
    x = 73,516,739.78/11,027.66
  6. Step 6: Final answer
    x = 6,666.58

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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.