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Finding the Fourth Proportional to 11,710.50, 17,555.88 and 5,467.20

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Solution

The fourth proportional to 11,710.50, 17,555.88 and 5,467.20 is: 8,196.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.50 : 17,555.88 = 5,467.20 : x
  2. Step 2: Convert to fraction form
    11,710.50/17,555.88 = 5,467.20/x
  3. Step 3: Cross multiply
    11,710.50x = 17,555.88 × 5,467.20
  4. Step 4: Simplify right side
    11,710.50x = 95,981,507.14
  5. Step 5: Solve for x
    x = 95,981,507.14/11,710.50
  6. Step 6: Final answer
    x = 8,196.19

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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.