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Finding the Fourth Proportional to 11,644.58, 16,069.77 and 6,339.66

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Solution

The fourth proportional to 11,644.58, 16,069.77 and 6,339.66 is: 8,748.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.58 : 16,069.77 = 6,339.66 : x
  2. Step 2: Convert to fraction form
    11,644.58/16,069.77 = 6,339.66/x
  3. Step 3: Cross multiply
    11,644.58x = 16,069.77 × 6,339.66
  4. Step 4: Simplify right side
    11,644.58x = 101,876,878.08
  5. Step 5: Solve for x
    x = 101,876,878.08/11,644.58
  6. Step 6: Final answer
    x = 8,748.87

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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.