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Finding the Fourth Proportional to 11,423.43, 15,764.22 and 6,644.43

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Solution

The fourth proportional to 11,423.43, 15,764.22 and 6,644.43 is: 9,169.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423.43 : 15,764.22 = 6,644.43 : x
  2. Step 2: Convert to fraction form
    11,423.43/15,764.22 = 6,644.43/x
  3. Step 3: Cross multiply
    11,423.43x = 15,764.22 × 6,644.43
  4. Step 4: Simplify right side
    11,423.43x = 104,744,256.29
  5. Step 5: Solve for x
    x = 104,744,256.29/11,423.43
  6. Step 6: Final answer
    x = 9,169.25

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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.