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Finding the Fourth Proportional to 8,296.58, 11,453.67 and 6,404.09

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Solution

The fourth proportional to 8,296.58, 11,453.67 and 6,404.09 is: 8,841.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.58 : 11,453.67 = 6,404.09 : x
  2. Step 2: Convert to fraction form
    8,296.58/11,453.67 = 6,404.09/x
  3. Step 3: Cross multiply
    8,296.58x = 11,453.67 × 6,404.09
  4. Step 4: Simplify right side
    8,296.58x = 73,350,276.24
  5. Step 5: Solve for x
    x = 73,350,276.24/8,296.58
  6. Step 6: Final answer
    x = 8,841.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.