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Finding the Fourth Proportional to 8,296.11, 11,440.68 and 6,404.55

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Solution

The fourth proportional to 8,296.11, 11,440.68 and 6,404.55 is: 8,832.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.11 : 11,440.68 = 6,404.55 : x
  2. Step 2: Convert to fraction form
    8,296.11/11,440.68 = 6,404.55/x
  3. Step 3: Cross multiply
    8,296.11x = 11,440.68 × 6,404.55
  4. Step 4: Simplify right side
    8,296.11x = 73,272,407.09
  5. Step 5: Solve for x
    x = 73,272,407.09/8,296.11
  6. Step 6: Final answer
    x = 8,832.14

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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.