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Finding the Fourth Proportional to 10,911.43, 15,057.03 and 6,434.96

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Solution

The fourth proportional to 10,911.43, 15,057.03 and 6,434.96 is: 8,879.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,911.43 : 15,057.03 = 6,434.96 : x
  2. Step 2: Convert to fraction form
    10,911.43/15,057.03 = 6,434.96/x
  3. Step 3: Cross multiply
    10,911.43x = 15,057.03 × 6,434.96
  4. Step 4: Simplify right side
    10,911.43x = 96,891,385.77
  5. Step 5: Solve for x
    x = 96,891,385.77/10,911.43
  6. Step 6: Final answer
    x = 8,879.81

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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.