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Finding the Fourth Proportional to 7,982.96, 11,016.96 and 4,624.70

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Solution

The fourth proportional to 7,982.96, 11,016.96 and 4,624.70 is: 6,382.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982.96 : 11,016.96 = 4,624.70 : x
  2. Step 2: Convert to fraction form
    7,982.96/11,016.96 = 4,624.70/x
  3. Step 3: Cross multiply
    7,982.96x = 11,016.96 × 4,624.70
  4. Step 4: Simplify right side
    7,982.96x = 50,950,134.91
  5. Step 5: Solve for x
    x = 50,950,134.91/7,982.96
  6. Step 6: Final answer
    x = 6,382.36

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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.