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Finding the Fourth Proportional to 11,379.46, 15,703.72 and 6,344

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Solution

The fourth proportional to 11,379.46, 15,703.72 and 6,344 is: 8,754.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,379.46 : 15,703.72 = 6,344 : x
  2. Step 2: Convert to fraction form
    11,379.46/15,703.72 = 6,344/x
  3. Step 3: Cross multiply
    11,379.46x = 15,703.72 × 6,344
  4. Step 4: Simplify right side
    11,379.46x = 99,624,399.68
  5. Step 5: Solve for x
    x = 99,624,399.68/11,379.46
  6. Step 6: Final answer
    x = 8,754.76

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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.