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Finding the Fourth Proportional to 8,196.41, 11,316.38 and 6,304.50

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Solution

The fourth proportional to 8,196.41, 11,316.38 and 6,304.50 is: 8,704.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.41 : 11,316.38 = 6,304.50 : x
  2. Step 2: Convert to fraction form
    8,196.41/11,316.38 = 6,304.50/x
  3. Step 3: Cross multiply
    8,196.41x = 11,316.38 × 6,304.50
  4. Step 4: Simplify right side
    8,196.41x = 71,344,086.19
  5. Step 5: Solve for x
    x = 71,344,086.19/8,196.41
  6. Step 6: Final answer
    x = 8,704.31

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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.