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Finding the Fourth Proportional to 11,126.92, 16,695 and 4,883.70

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Solution

The fourth proportional to 11,126.92, 16,695 and 4,883.70 is: 7,327.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,126.92 : 16,695 = 4,883.70 : x
  2. Step 2: Convert to fraction form
    11,126.92/16,695 = 4,883.70/x
  3. Step 3: Cross multiply
    11,126.92x = 16,695 × 4,883.70
  4. Step 4: Simplify right side
    11,126.92x = 81,533,371.50
  5. Step 5: Solve for x
    x = 81,533,371.50/11,126.92
  6. Step 6: Final answer
    x = 7,327.58

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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.