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Finding the Fourth Proportional to 6,096.97, 8,419.80 and 5,207.59

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Solution

The fourth proportional to 6,096.97, 8,419.80 and 5,207.59 is: 7,191.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.97 : 8,419.80 = 5,207.59 : x
  2. Step 2: Convert to fraction form
    6,096.97/8,419.80 = 5,207.59/x
  3. Step 3: Cross multiply
    6,096.97x = 8,419.80 × 5,207.59
  4. Step 4: Simplify right side
    6,096.97x = 43,846,867.04
  5. Step 5: Solve for x
    x = 43,846,867.04/6,096.97
  6. Step 6: Final answer
    x = 7,191.58

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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.