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Finding the Fourth Proportional to 11,644.31, 16,069.71 and 6,864.41

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Solution

The fourth proportional to 11,644.31, 16,069.71 and 6,864.41 is: 9,473.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.31 : 16,069.71 = 6,864.41 : x
  2. Step 2: Convert to fraction form
    11,644.31/16,069.71 = 6,864.41/x
  3. Step 3: Cross multiply
    11,644.31x = 16,069.71 × 6,864.41
  4. Step 4: Simplify right side
    11,644.31x = 110,308,997.67
  5. Step 5: Solve for x
    x = 110,308,997.67/11,644.31
  6. Step 6: Final answer
    x = 9,473.21

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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.