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Finding the Fourth Proportional to 11,202.76, 16,814.54 and 5,660

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Solution

The fourth proportional to 11,202.76, 16,814.54 and 5,660 is: 8,495.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.76 : 16,814.54 = 5,660 : x
  2. Step 2: Convert to fraction form
    11,202.76/16,814.54 = 5,660/x
  3. Step 3: Cross multiply
    11,202.76x = 16,814.54 × 5,660
  4. Step 4: Simplify right side
    11,202.76x = 95,170,289.33
  5. Step 5: Solve for x
    x = 95,170,289.33/11,202.76
  6. Step 6: Final answer
    x = 8,495.25

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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.