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Finding the Fourth Proportional to 11,641.22, 16,065.24 and 6,335.72

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Solution

The fourth proportional to 11,641.22, 16,065.24 and 6,335.72 is: 8,743.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.22 : 16,065.24 = 6,335.72 : x
  2. Step 2: Convert to fraction form
    11,641.22/16,065.24 = 6,335.72/x
  3. Step 3: Cross multiply
    11,641.22x = 16,065.24 × 6,335.72
  4. Step 4: Simplify right side
    11,641.22x = 101,784,862.37
  5. Step 5: Solve for x
    x = 101,784,862.37/11,641.22
  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.