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Finding the Fourth Proportional to 8,245, 11,377.98 and 4,708

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Solution

The fourth proportional to 8,245, 11,377.98 and 4,708 is: 6,496.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,245 : 11,377.98 = 4,708 : x
  2. Step 2: Convert to fraction form
    8,245/11,377.98 = 4,708/x
  3. Step 3: Cross multiply
    8,245x = 11,377.98 × 4,708
  4. Step 4: Simplify right side
    8,245x = 53,567,529.84
  5. Step 5: Solve for x
    x = 53,567,529.84/8,245
  6. Step 6: Final answer
    x = 6,496.97

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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.