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Finding the Fourth Proportional to 7,383.92, 11,074 and 2,188.58

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Solution

The fourth proportional to 7,383.92, 11,074 and 2,188.58 is: 3,282.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,383.92 : 11,074 = 2,188.58 : x
  2. Step 2: Convert to fraction form
    7,383.92/11,074 = 2,188.58/x
  3. Step 3: Cross multiply
    7,383.92x = 11,074 × 2,188.58
  4. Step 4: Simplify right side
    7,383.92x = 24,236,334.92
  5. Step 5: Solve for x
    x = 24,236,334.92/7,383.92
  6. Step 6: Final answer
    x = 3,282.31

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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.