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Finding the Fourth Proportional to 10,297.31, 14,171.99 and 8,490.34

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Solution

The fourth proportional to 10,297.31, 14,171.99 and 8,490.34 is: 11,685.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.31 : 14,171.99 = 8,490.34 : x
  2. Step 2: Convert to fraction form
    10,297.31/14,171.99 = 8,490.34/x
  3. Step 3: Cross multiply
    10,297.31x = 14,171.99 × 8,490.34
  4. Step 4: Simplify right side
    10,297.31x = 120,324,935.69
  5. Step 5: Solve for x
    x = 120,324,935.69/10,297.31
  6. Step 6: Final answer
    x = 11,685.08

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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.