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Finding the Fourth Proportional to 7,648.42, 11,473.78 and 2,717.64

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Solution

The fourth proportional to 7,648.42, 11,473.78 and 2,717.64 is: 4,076.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.42 : 11,473.78 = 2,717.64 : x
  2. Step 2: Convert to fraction form
    7,648.42/11,473.78 = 2,717.64/x
  3. Step 3: Cross multiply
    7,648.42x = 11,473.78 × 2,717.64
  4. Step 4: Simplify right side
    7,648.42x = 31,181,603.48
  5. Step 5: Solve for x
    x = 31,181,603.48/7,648.42
  6. Step 6: Final answer
    x = 4,076.87

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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.