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Finding the Fourth Proportional to 11,435.81, 15,781.70 and 6,399.99

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Solution

The fourth proportional to 11,435.81, 15,781.70 and 6,399.99 is: 8,832.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,435.81 : 15,781.70 = 6,399.99 : x
  2. Step 2: Convert to fraction form
    11,435.81/15,781.70 = 6,399.99/x
  3. Step 3: Cross multiply
    11,435.81x = 15,781.70 × 6,399.99
  4. Step 4: Simplify right side
    11,435.81x = 101,002,722.18
  5. Step 5: Solve for x
    x = 101,002,722.18/11,435.81
  6. Step 6: Final answer
    x = 8,832.14

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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.