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Finding the Fourth Proportional to 6,196.56, 8,498.82 and 5,496.72

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Solution

The fourth proportional to 6,196.56, 8,498.82 and 5,496.72 is: 7,538.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.56 : 8,498.82 = 5,496.72 : x
  2. Step 2: Convert to fraction form
    6,196.56/8,498.82 = 5,496.72/x
  3. Step 3: Cross multiply
    6,196.56x = 8,498.82 × 5,496.72
  4. Step 4: Simplify right side
    6,196.56x = 46,715,633.87
  5. Step 5: Solve for x
    x = 46,715,633.87/6,196.56
  6. Step 6: Final answer
    x = 7,538.96

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.