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Finding the Fourth Proportional to 8,098.94, 11,179.66 and 6,331.12

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Solution

The fourth proportional to 8,098.94, 11,179.66 and 6,331.12 is: 8,739.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.94 : 11,179.66 = 6,331.12 : x
  2. Step 2: Convert to fraction form
    8,098.94/11,179.66 = 6,331.12/x
  3. Step 3: Cross multiply
    8,098.94x = 11,179.66 × 6,331.12
  4. Step 4: Simplify right side
    8,098.94x = 70,779,769.02
  5. Step 5: Solve for x
    x = 70,779,769.02/8,098.94
  6. Step 6: Final answer
    x = 8,739.39

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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.