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Finding the Fourth Proportional to 13,758.92, 18,979.38 and 8,377.16

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Solution

The fourth proportional to 13,758.92, 18,979.38 and 8,377.16 is: 11,555.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758.92 : 18,979.38 = 8,377.16 : x
  2. Step 2: Convert to fraction form
    13,758.92/18,979.38 = 8,377.16/x
  3. Step 3: Cross multiply
    13,758.92x = 18,979.38 × 8,377.16
  4. Step 4: Simplify right side
    13,758.92x = 158,993,302.96
  5. Step 5: Solve for x
    x = 158,993,302.96/13,758.92
  6. Step 6: Final answer
    x = 11,555.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.