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Finding the Fourth Proportional to 11,435.31, 15,781.01 and 6,399.49

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Solution

The fourth proportional to 11,435.31, 15,781.01 and 6,399.49 is: 8,831.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,435.31 : 15,781.01 = 6,399.49 : x
  2. Step 2: Convert to fraction form
    11,435.31/15,781.01 = 6,399.49/x
  3. Step 3: Cross multiply
    11,435.31x = 15,781.01 × 6,399.49
  4. Step 4: Simplify right side
    11,435.31x = 100,990,409.82
  5. Step 5: Solve for x
    x = 100,990,409.82/11,435.31
  6. Step 6: Final answer
    x = 8,831.45

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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.