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Finding the Fourth Proportional to 8,682.89, 11,982.27 and 5,146.16

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Solution

The fourth proportional to 8,682.89, 11,982.27 and 5,146.16 is: 7,101.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682.89 : 11,982.27 = 5,146.16 : x
  2. Step 2: Convert to fraction form
    8,682.89/11,982.27 = 5,146.16/x
  3. Step 3: Cross multiply
    8,682.89x = 11,982.27 × 5,146.16
  4. Step 4: Simplify right side
    8,682.89x = 61,662,618.67
  5. Step 5: Solve for x
    x = 61,662,618.67/8,682.89
  6. Step 6: Final answer
    x = 7,101.63

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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.