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Finding the Fourth Proportional to 8,076.86, 11,144.13 and 5,382.75

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Solution

The fourth proportional to 8,076.86, 11,144.13 and 5,382.75 is: 7,426.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,076.86 : 11,144.13 = 5,382.75 : x
  2. Step 2: Convert to fraction form
    8,076.86/11,144.13 = 5,382.75/x
  3. Step 3: Cross multiply
    8,076.86x = 11,144.13 × 5,382.75
  4. Step 4: Simplify right side
    8,076.86x = 59,986,117.64
  5. Step 5: Solve for x
    x = 59,986,117.64/8,076.86
  6. Step 6: Final answer
    x = 7,426.91

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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.