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Finding the Fourth Proportional to 7,656.77, 11,475.36 and 6,665.54

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Solution

The fourth proportional to 7,656.77, 11,475.36 and 6,665.54 is: 9,989.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.77 : 11,475.36 = 6,665.54 : x
  2. Step 2: Convert to fraction form
    7,656.77/11,475.36 = 6,665.54/x
  3. Step 3: Cross multiply
    7,656.77x = 11,475.36 × 6,665.54
  4. Step 4: Simplify right side
    7,656.77x = 76,489,471.09
  5. Step 5: Solve for x
    x = 76,489,471.09/7,656.77
  6. Step 6: Final answer
    x = 9,989.78

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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.