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Finding the Fourth Proportional to 11,434.98, 15,781.12 and 6,399.71

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Solution

The fourth proportional to 11,434.98, 15,781.12 and 6,399.71 is: 8,832.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,434.98 : 15,781.12 = 6,399.71 : x
  2. Step 2: Convert to fraction form
    11,434.98/15,781.12 = 6,399.71/x
  3. Step 3: Cross multiply
    11,434.98x = 15,781.12 × 6,399.71
  4. Step 4: Simplify right side
    11,434.98x = 100,994,591.48
  5. Step 5: Solve for x
    x = 100,994,591.48/11,434.98
  6. Step 6: Final answer
    x = 8,832.07

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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.