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Finding the Fourth Proportional to 11,476.37, 15,833.44 and 6,439.90

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Solution

The fourth proportional to 11,476.37, 15,833.44 and 6,439.90 is: 8,884.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,476.37 : 15,833.44 = 6,439.90 : x
  2. Step 2: Convert to fraction form
    11,476.37/15,833.44 = 6,439.90/x
  3. Step 3: Cross multiply
    11,476.37x = 15,833.44 × 6,439.90
  4. Step 4: Simplify right side
    11,476.37x = 101,965,658.89
  5. Step 5: Solve for x
    x = 101,965,658.89/11,476.37
  6. Step 6: Final answer
    x = 8,884.84

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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.