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Finding the Fourth Proportional to 11,471.15, 15,829.25 and 6,434.69

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Solution

The fourth proportional to 11,471.15, 15,829.25 and 6,434.69 is: 8,879.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.15 : 15,829.25 = 6,434.69 : x
  2. Step 2: Convert to fraction form
    11,471.15/15,829.25 = 6,434.69/x
  3. Step 3: Cross multiply
    11,471.15x = 15,829.25 × 6,434.69
  4. Step 4: Simplify right side
    11,471.15x = 101,856,205.36
  5. Step 5: Solve for x
    x = 101,856,205.36/11,471.15
  6. Step 6: Final answer
    x = 8,879.34

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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.