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Finding the Fourth Proportional to 11,640.70, 16,063.27 and 6,335.40

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Solution

The fourth proportional to 11,640.70, 16,063.27 and 6,335.40 is: 8,742.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.70 : 16,063.27 = 6,335.40 : x
  2. Step 2: Convert to fraction form
    11,640.70/16,063.27 = 6,335.40/x
  3. Step 3: Cross multiply
    11,640.70x = 16,063.27 × 6,335.40
  4. Step 4: Simplify right side
    11,640.70x = 101,767,240.76
  5. Step 5: Solve for x
    x = 101,767,240.76/11,640.70
  6. Step 6: Final answer
    x = 8,742.36

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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.