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Finding the Fourth Proportional to 8,441.14, 11,635.52 and 5,783.98

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Solution

The fourth proportional to 8,441.14, 11,635.52 and 5,783.98 is: 7,972.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.14 : 11,635.52 = 5,783.98 : x
  2. Step 2: Convert to fraction form
    8,441.14/11,635.52 = 5,783.98/x
  3. Step 3: Cross multiply
    8,441.14x = 11,635.52 × 5,783.98
  4. Step 4: Simplify right side
    8,441.14x = 67,299,614.97
  5. Step 5: Solve for x
    x = 67,299,614.97/8,441.14
  6. Step 6: Final answer
    x = 7,972.81

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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.