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Finding the Fourth Proportional to 8,296.21, 11,447.62 and 6,874.66

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Solution

The fourth proportional to 8,296.21, 11,447.62 and 6,874.66 is: 9,486.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.21 : 11,447.62 = 6,874.66 : x
  2. Step 2: Convert to fraction form
    8,296.21/11,447.62 = 6,874.66/x
  3. Step 3: Cross multiply
    8,296.21x = 11,447.62 × 6,874.66
  4. Step 4: Simplify right side
    8,296.21x = 78,698,495.31
  5. Step 5: Solve for x
    x = 78,698,495.31/8,296.21
  6. Step 6: Final answer
    x = 9,486.08

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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.