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Finding the Fourth Proportional to 8,255.28, 11,376.54 and 5,893.32

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Solution

The fourth proportional to 8,255.28, 11,376.54 and 5,893.32 is: 8,121.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,255.28 : 11,376.54 = 5,893.32 : x
  2. Step 2: Convert to fraction form
    8,255.28/11,376.54 = 5,893.32/x
  3. Step 3: Cross multiply
    8,255.28x = 11,376.54 × 5,893.32
  4. Step 4: Simplify right side
    8,255.28x = 67,045,590.71
  5. Step 5: Solve for x
    x = 67,045,590.71/8,255.28
  6. Step 6: Final answer
    x = 8,121.54

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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.