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Finding the Fourth Proportional to 8,204.78, 11,296.64 and 7,456.47

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Solution

The fourth proportional to 8,204.78, 11,296.64 and 7,456.47 is: 10,266.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.78 : 11,296.64 = 7,456.47 : x
  2. Step 2: Convert to fraction form
    8,204.78/11,296.64 = 7,456.47/x
  3. Step 3: Cross multiply
    8,204.78x = 11,296.64 × 7,456.47
  4. Step 4: Simplify right side
    8,204.78x = 84,233,019.98
  5. Step 5: Solve for x
    x = 84,233,019.98/8,204.78
  6. Step 6: Final answer
    x = 10,266.34

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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.