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Finding the Fourth Proportional to 7,893.36, 10,882.08 and 5,094

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Solution

The fourth proportional to 7,893.36, 10,882.08 and 5,094 is: 7,022.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893.36 : 10,882.08 = 5,094 : x
  2. Step 2: Convert to fraction form
    7,893.36/10,882.08 = 5,094/x
  3. Step 3: Cross multiply
    7,893.36x = 10,882.08 × 5,094
  4. Step 4: Simplify right side
    7,893.36x = 55,433,315.52
  5. Step 5: Solve for x
    x = 55,433,315.52/7,893.36
  6. Step 6: Final answer
    x = 7,022.78

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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.