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Finding the Fourth Proportional to 7,665.66, 11,494.62 and 2,734.56

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Solution

The fourth proportional to 7,665.66, 11,494.62 and 2,734.56 is: 4,100.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.66 : 11,494.62 = 2,734.56 : x
  2. Step 2: Convert to fraction form
    7,665.66/11,494.62 = 2,734.56/x
  3. Step 3: Cross multiply
    7,665.66x = 11,494.62 × 2,734.56
  4. Step 4: Simplify right side
    7,665.66x = 31,432,728.07
  5. Step 5: Solve for x
    x = 31,432,728.07/7,665.66
  6. Step 6: Final answer
    x = 4,100.46

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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.