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Finding the Fourth Proportional to 11,441.30, 15,789.97 and 6,406.46

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Solution

The fourth proportional to 11,441.30, 15,789.97 and 6,406.46 is: 8,841.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,441.30 : 15,789.97 = 6,406.46 : x
  2. Step 2: Convert to fraction form
    11,441.30/15,789.97 = 6,406.46/x
  3. Step 3: Cross multiply
    11,441.30x = 15,789.97 × 6,406.46
  4. Step 4: Simplify right side
    11,441.30x = 101,157,799.48
  5. Step 5: Solve for x
    x = 101,157,799.48/11,441.30
  6. Step 6: Final answer
    x = 8,841.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.