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Finding the Fourth Proportional to 7,659.36, 11,471.92 and 6,659.36

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Solution

The fourth proportional to 7,659.36, 11,471.92 and 6,659.36 is: 9,974.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,659.36 : 11,471.92 = 6,659.36 : x
  2. Step 2: Convert to fraction form
    7,659.36/11,471.92 = 6,659.36/x
  3. Step 3: Cross multiply
    7,659.36x = 11,471.92 × 6,659.36
  4. Step 4: Simplify right side
    7,659.36x = 76,395,645.17
  5. Step 5: Solve for x
    x = 76,395,645.17/7,659.36
  6. Step 6: Final answer
    x = 9,974.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.