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Finding the Fourth Proportional to 11,697.31, 17,543.08 and 5,451.40

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Solution

The fourth proportional to 11,697.31, 17,543.08 and 5,451.40 is: 8,175.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.31 : 17,543.08 = 5,451.40 : x
  2. Step 2: Convert to fraction form
    11,697.31/17,543.08 = 5,451.40/x
  3. Step 3: Cross multiply
    11,697.31x = 17,543.08 × 5,451.40
  4. Step 4: Simplify right side
    11,697.31x = 95,634,375.06
  5. Step 5: Solve for x
    x = 95,634,375.06/11,697.31
  6. Step 6: Final answer
    x = 8,175.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.