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Finding the Fourth Proportional to 8,255.75, 11,393.12 and 4,719.29

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Solution

The fourth proportional to 8,255.75, 11,393.12 and 4,719.29 is: 6,512.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,255.75 : 11,393.12 = 4,719.29 : x
  2. Step 2: Convert to fraction form
    8,255.75/11,393.12 = 4,719.29/x
  3. Step 3: Cross multiply
    8,255.75x = 11,393.12 × 4,719.29
  4. Step 4: Simplify right side
    8,255.75x = 53,767,392.12
  5. Step 5: Solve for x
    x = 53,767,392.12/8,255.75
  6. Step 6: Final answer
    x = 6,512.72

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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.