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Finding the Fourth Proportional to 8,296.78, 11,440.76 and 6,408.66

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Solution

The fourth proportional to 8,296.78, 11,440.76 and 6,408.66 is: 8,837.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.78 : 11,440.76 = 6,408.66 : x
  2. Step 2: Convert to fraction form
    8,296.78/11,440.76 = 6,408.66/x
  3. Step 3: Cross multiply
    8,296.78x = 11,440.76 × 6,408.66
  4. Step 4: Simplify right side
    8,296.78x = 73,319,940.98
  5. Step 5: Solve for x
    x = 73,319,940.98/8,296.78
  6. Step 6: Final answer
    x = 8,837.16

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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.