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Finding the Fourth Proportional to 11,641.34, 16,064.73 and 6,336.02

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Solution

The fourth proportional to 11,641.34, 16,064.73 and 6,336.02 is: 8,743.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.34 : 16,064.73 = 6,336.02 : x
  2. Step 2: Convert to fraction form
    11,641.34/16,064.73 = 6,336.02/x
  3. Step 3: Cross multiply
    11,641.34x = 16,064.73 × 6,336.02
  4. Step 4: Simplify right side
    11,641.34x = 101,786,450.57
  5. Step 5: Solve for x
    x = 101,786,450.57/11,641.34
  6. Step 6: Final answer
    x = 8,743.53

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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.