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Finding the Fourth Proportional to 8,299.31, 11,418.71 and 6,298.20

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Solution

The fourth proportional to 8,299.31, 11,418.71 and 6,298.20 is: 8,665.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,299.31 : 11,418.71 = 6,298.20 : x
  2. Step 2: Convert to fraction form
    8,299.31/11,418.71 = 6,298.20/x
  3. Step 3: Cross multiply
    8,299.31x = 11,418.71 × 6,298.20
  4. Step 4: Simplify right side
    8,299.31x = 71,917,287.83
  5. Step 5: Solve for x
    x = 71,917,287.83/8,299.31
  6. Step 6: Final answer
    x = 8,665.46

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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.