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Finding the Fourth Proportional to 11,451.62, 15,803.54 and 6,415.73

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Solution

The fourth proportional to 11,451.62, 15,803.54 and 6,415.73 is: 8,853.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,451.62 : 15,803.54 = 6,415.73 : x
  2. Step 2: Convert to fraction form
    11,451.62/15,803.54 = 6,415.73/x
  3. Step 3: Cross multiply
    11,451.62x = 15,803.54 × 6,415.73
  4. Step 4: Simplify right side
    11,451.62x = 101,391,245.68
  5. Step 5: Solve for x
    x = 101,391,245.68/11,451.62
  6. Step 6: Final answer
    x = 8,853.88

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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.