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Finding the Fourth Proportional to 11,107.56, 16,663.68 and 4,182

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Solution

The fourth proportional to 11,107.56, 16,663.68 and 4,182 is: 6,273.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,107.56 : 16,663.68 = 4,182 : x
  2. Step 2: Convert to fraction form
    11,107.56/16,663.68 = 4,182/x
  3. Step 3: Cross multiply
    11,107.56x = 16,663.68 × 4,182
  4. Step 4: Simplify right side
    11,107.56x = 69,687,509.76
  5. Step 5: Solve for x
    x = 69,687,509.76/11,107.56
  6. Step 6: Final answer
    x = 6,273.88

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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.