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Finding the Fourth Proportional to 7,411.60, 11,120.64 and 3,948

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Solution

The fourth proportional to 7,411.60, 11,120.64 and 3,948 is: 5,923.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.60 : 11,120.64 = 3,948 : x
  2. Step 2: Convert to fraction form
    7,411.60/11,120.64 = 3,948/x
  3. Step 3: Cross multiply
    7,411.60x = 11,120.64 × 3,948
  4. Step 4: Simplify right side
    7,411.60x = 43,904,286.72
  5. Step 5: Solve for x
    x = 43,904,286.72/7,411.60
  6. Step 6: Final answer
    x = 5,923.73

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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.