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Finding the Fourth Proportional to 11,425.12, 15,767.04 and 6,389.20

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Solution

The fourth proportional to 11,425.12, 15,767.04 and 6,389.20 is: 8,817.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,425.12 : 15,767.04 = 6,389.20 : x
  2. Step 2: Convert to fraction form
    11,425.12/15,767.04 = 6,389.20/x
  3. Step 3: Cross multiply
    11,425.12x = 15,767.04 × 6,389.20
  4. Step 4: Simplify right side
    11,425.12x = 100,738,771.97
  5. Step 5: Solve for x
    x = 100,738,771.97/11,425.12
  6. Step 6: Final answer
    x = 8,817.31

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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.