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Finding the Fourth Proportional to 11,640.57, 16,064.32 and 6,335.73

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Solution

The fourth proportional to 11,640.57, 16,064.32 and 6,335.73 is: 8,743.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.57 : 16,064.32 = 6,335.73 : x
  2. Step 2: Convert to fraction form
    11,640.57/16,064.32 = 6,335.73/x
  3. Step 3: Cross multiply
    11,640.57x = 16,064.32 × 6,335.73
  4. Step 4: Simplify right side
    11,640.57x = 101,779,113.83
  5. Step 5: Solve for x
    x = 101,779,113.83/11,640.57
  6. Step 6: Final answer
    x = 8,743.49

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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.