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Finding the Fourth Proportional to 11,801.68, 17,705.16 and 5,561.76

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Solution

The fourth proportional to 11,801.68, 17,705.16 and 5,561.76 is: 8,343.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,801.68 : 17,705.16 = 5,561.76 : x
  2. Step 2: Convert to fraction form
    11,801.68/17,705.16 = 5,561.76/x
  3. Step 3: Cross multiply
    11,801.68x = 17,705.16 × 5,561.76
  4. Step 4: Simplify right side
    11,801.68x = 98,471,850.68
  5. Step 5: Solve for x
    x = 98,471,850.68/11,801.68
  6. Step 6: Final answer
    x = 8,343.88

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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.