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Finding the Fourth Proportional to 8,921.43, 12,284.09 and 7,924.98

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Solution

The fourth proportional to 8,921.43, 12,284.09 and 7,924.98 is: 10,912.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,921.43 : 12,284.09 = 7,924.98 : x
  2. Step 2: Convert to fraction form
    8,921.43/12,284.09 = 7,924.98/x
  3. Step 3: Cross multiply
    8,921.43x = 12,284.09 × 7,924.98
  4. Step 4: Simplify right side
    8,921.43x = 97,351,187.38
  5. Step 5: Solve for x
    x = 97,351,187.38/8,921.43
  6. Step 6: Final answer
    x = 10,912.06

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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.