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Finding the Fourth Proportional to 8,222.81, 11,344.79 and 5,032.78

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Solution

The fourth proportional to 8,222.81, 11,344.79 and 5,032.78 is: 6,943.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.81 : 11,344.79 = 5,032.78 : x
  2. Step 2: Convert to fraction form
    8,222.81/11,344.79 = 5,032.78/x
  3. Step 3: Cross multiply
    8,222.81x = 11,344.79 × 5,032.78
  4. Step 4: Simplify right side
    8,222.81x = 57,095,816.44
  5. Step 5: Solve for x
    x = 57,095,816.44/8,222.81
  6. Step 6: Final answer
    x = 6,943.59

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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.