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Finding the Fourth Proportional to 8,310.63, 11,462.34 and 5,792.73

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Solution

The fourth proportional to 8,310.63, 11,462.34 and 5,792.73 is: 7,989.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.63 : 11,462.34 = 5,792.73 : x
  2. Step 2: Convert to fraction form
    8,310.63/11,462.34 = 5,792.73/x
  3. Step 3: Cross multiply
    8,310.63x = 11,462.34 × 5,792.73
  4. Step 4: Simplify right side
    8,310.63x = 66,398,240.79
  5. Step 5: Solve for x
    x = 66,398,240.79/8,310.63
  6. Step 6: Final answer
    x = 7,989.56

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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.