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Finding the Fourth Proportional to 11,221.30, 15,479.69 and 8,564.09

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Solution

The fourth proportional to 11,221.30, 15,479.69 and 8,564.09 is: 11,814.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,221.30 : 15,479.69 = 8,564.09 : x
  2. Step 2: Convert to fraction form
    11,221.30/15,479.69 = 8,564.09/x
  3. Step 3: Cross multiply
    11,221.30x = 15,479.69 × 8,564.09
  4. Step 4: Simplify right side
    11,221.30x = 132,569,518.44
  5. Step 5: Solve for x
    x = 132,569,518.44/11,221.30
  6. Step 6: Final answer
    x = 11,814.10

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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.