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Finding the Fourth Proportional to 8,327.52, 11,493.60 and 7,663.28

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Solution

The fourth proportional to 8,327.52, 11,493.60 and 7,663.28 is: 10,576.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,327.52 : 11,493.60 = 7,663.28 : x
  2. Step 2: Convert to fraction form
    8,327.52/11,493.60 = 7,663.28/x
  3. Step 3: Cross multiply
    8,327.52x = 11,493.60 × 7,663.28
  4. Step 4: Simplify right side
    8,327.52x = 88,078,675.01
  5. Step 5: Solve for x
    x = 88,078,675.01/8,327.52
  6. Step 6: Final answer
    x = 10,576.82

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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.