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Finding the Fourth Proportional to 8,251.81, 11,391.44 and 4,714.34

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Solution

The fourth proportional to 8,251.81, 11,391.44 and 4,714.34 is: 6,508.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.81 : 11,391.44 = 4,714.34 : x
  2. Step 2: Convert to fraction form
    8,251.81/11,391.44 = 4,714.34/x
  3. Step 3: Cross multiply
    8,251.81x = 11,391.44 × 4,714.34
  4. Step 4: Simplify right side
    8,251.81x = 53,703,040.72
  5. Step 5: Solve for x
    x = 53,703,040.72/8,251.81
  6. Step 6: Final answer
    x = 6,508.03

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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.