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Finding the Fourth Proportional to 8,327.76, 11,472.80 and 5,805.29

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Solution

The fourth proportional to 8,327.76, 11,472.80 and 5,805.29 is: 7,997.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,327.76 : 11,472.80 = 5,805.29 : x
  2. Step 2: Convert to fraction form
    8,327.76/11,472.80 = 5,805.29/x
  3. Step 3: Cross multiply
    8,327.76x = 11,472.80 × 5,805.29
  4. Step 4: Simplify right side
    8,327.76x = 66,602,844.72
  5. Step 5: Solve for x
    x = 66,602,844.72/8,327.76
  6. Step 6: Final answer
    x = 7,997.69

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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.