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Finding the Fourth Proportional to 10,924.74, 16,363.80 and 7,996.50

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Solution

The fourth proportional to 10,924.74, 16,363.80 and 7,996.50 is: 11,977.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,924.74 : 16,363.80 = 7,996.50 : x
  2. Step 2: Convert to fraction form
    10,924.74/16,363.80 = 7,996.50/x
  3. Step 3: Cross multiply
    10,924.74x = 16,363.80 × 7,996.50
  4. Step 4: Simplify right side
    10,924.74x = 130,853,126.70
  5. Step 5: Solve for x
    x = 130,853,126.70/10,924.74
  6. Step 6: Final answer
    x = 11,977.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.