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Finding the Fourth Proportional to 8,294.28, 11,430.36 and 5,932.32

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Solution

The fourth proportional to 8,294.28, 11,430.36 and 5,932.32 is: 8,175.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.28 : 11,430.36 = 5,932.32 : x
  2. Step 2: Convert to fraction form
    8,294.28/11,430.36 = 5,932.32/x
  3. Step 3: Cross multiply
    8,294.28x = 11,430.36 × 5,932.32
  4. Step 4: Simplify right side
    8,294.28x = 67,808,553.24
  5. Step 5: Solve for x
    x = 67,808,553.24/8,294.28
  6. Step 6: Final answer
    x = 8,175.34

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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.