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Finding the Fourth Proportional to 8,194.07, 11,308.65 and 4,837.97

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Solution

The fourth proportional to 8,194.07, 11,308.65 and 4,837.97 is: 6,676.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.07 : 11,308.65 = 4,837.97 : x
  2. Step 2: Convert to fraction form
    8,194.07/11,308.65 = 4,837.97/x
  3. Step 3: Cross multiply
    8,194.07x = 11,308.65 × 4,837.97
  4. Step 4: Simplify right side
    8,194.07x = 54,710,909.44
  5. Step 5: Solve for x
    x = 54,710,909.44/8,194.07
  6. Step 6: Final answer
    x = 6,676.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.