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Finding the Fourth Proportional to 8,254.72, 11,381.76 and 6,757.12

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Solution

The fourth proportional to 8,254.72, 11,381.76 and 6,757.12 is: 9,316.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.72 : 11,381.76 = 6,757.12 : x
  2. Step 2: Convert to fraction form
    8,254.72/11,381.76 = 6,757.12/x
  3. Step 3: Cross multiply
    8,254.72x = 11,381.76 × 6,757.12
  4. Step 4: Simplify right side
    8,254.72x = 76,907,918.13
  5. Step 5: Solve for x
    x = 76,907,918.13/8,254.72
  6. Step 6: Final answer
    x = 9,316.84

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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.