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Finding the Fourth Proportional to 7,633.82, 11,431.28 and 3,728

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Solution

The fourth proportional to 7,633.82, 11,431.28 and 3,728 is: 5,582.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.82 : 11,431.28 = 3,728 : x
  2. Step 2: Convert to fraction form
    7,633.82/11,431.28 = 3,728/x
  3. Step 3: Cross multiply
    7,633.82x = 11,431.28 × 3,728
  4. Step 4: Simplify right side
    7,633.82x = 42,615,811.84
  5. Step 5: Solve for x
    x = 42,615,811.84/7,633.82
  6. Step 6: Final answer
    x = 5,582.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.