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Finding the Fourth Proportional to 11,435.46, 15,780.99 and 6,399.84

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Solution

The fourth proportional to 11,435.46, 15,780.99 and 6,399.84 is: 8,831.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,435.46 : 15,780.99 = 6,399.84 : x
  2. Step 2: Convert to fraction form
    11,435.46/15,780.99 = 6,399.84/x
  3. Step 3: Cross multiply
    11,435.46x = 15,780.99 × 6,399.84
  4. Step 4: Simplify right side
    11,435.46x = 100,995,811.04
  5. Step 5: Solve for x
    x = 100,995,811.04/11,435.46
  6. Step 6: Final answer
    x = 8,831.81

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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.