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Finding the Fourth Proportional to 8,193.46, 11,304.38 and 4,837.43

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Solution

The fourth proportional to 8,193.46, 11,304.38 and 4,837.43 is: 6,674.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.46 : 11,304.38 = 4,837.43 : x
  2. Step 2: Convert to fraction form
    8,193.46/11,304.38 = 4,837.43/x
  3. Step 3: Cross multiply
    8,193.46x = 11,304.38 × 4,837.43
  4. Step 4: Simplify right side
    8,193.46x = 54,684,146.94
  5. Step 5: Solve for x
    x = 54,684,146.94/8,193.46
  6. Step 6: Final answer
    x = 6,674.12

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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.