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Finding the Fourth Proportional to 7,334.64, 11,006.82 and 3,383.46

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Solution

The fourth proportional to 7,334.64, 11,006.82 and 3,383.46 is: 5,077.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,334.64 : 11,006.82 = 3,383.46 : x
  2. Step 2: Convert to fraction form
    7,334.64/11,006.82 = 3,383.46/x
  3. Step 3: Cross multiply
    7,334.64x = 11,006.82 × 3,383.46
  4. Step 4: Simplify right side
    7,334.64x = 37,241,135.20
  5. Step 5: Solve for x
    x = 37,241,135.20/7,334.64
  6. Step 6: Final answer
    x = 5,077.43

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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.