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Finding the Fourth Proportional to 7,874.46, 11,814.56 and 3,659.66

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Solution

The fourth proportional to 7,874.46, 11,814.56 and 3,659.66 is: 5,490.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.46 : 11,814.56 = 3,659.66 : x
  2. Step 2: Convert to fraction form
    7,874.46/11,814.56 = 3,659.66/x
  3. Step 3: Cross multiply
    7,874.46x = 11,814.56 × 3,659.66
  4. Step 4: Simplify right side
    7,874.46x = 43,237,253.31
  5. Step 5: Solve for x
    x = 43,237,253.31/7,874.46
  6. Step 6: Final answer
    x = 5,490.82

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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.