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Finding the Fourth Proportional to 11,640.32, 16,063.98 and 6,335.48

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Solution

The fourth proportional to 11,640.32, 16,063.98 and 6,335.48 is: 8,743.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.32 : 16,063.98 = 6,335.48 : x
  2. Step 2: Convert to fraction form
    11,640.32/16,063.98 = 6,335.48/x
  3. Step 3: Cross multiply
    11,640.32x = 16,063.98 × 6,335.48
  4. Step 4: Simplify right side
    11,640.32x = 101,772,943.69
  5. Step 5: Solve for x
    x = 101,772,943.69/11,640.32
  6. Step 6: Final answer
    x = 8,743.14

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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.