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Finding the Fourth Proportional to 11,644.98, 16,069.56 and 6,339.48

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Solution

The fourth proportional to 11,644.98, 16,069.56 and 6,339.48 is: 8,748.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.98 : 16,069.56 = 6,339.48 : x
  2. Step 2: Convert to fraction form
    11,644.98/16,069.56 = 6,339.48/x
  3. Step 3: Cross multiply
    11,644.98x = 16,069.56 × 6,339.48
  4. Step 4: Simplify right side
    11,644.98x = 101,872,654.23
  5. Step 5: Solve for x
    x = 101,872,654.23/11,644.98
  6. Step 6: Final answer
    x = 8,748.20

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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.