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Finding the Fourth Proportional to 8,676.29, 13,014.44 and 2,102.48

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Solution

The fourth proportional to 8,676.29, 13,014.44 and 2,102.48 is: 3,153.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676.29 : 13,014.44 = 2,102.48 : x
  2. Step 2: Convert to fraction form
    8,676.29/13,014.44 = 2,102.48/x
  3. Step 3: Cross multiply
    8,676.29x = 13,014.44 × 2,102.48
  4. Step 4: Simplify right side
    8,676.29x = 27,362,524.23
  5. Step 5: Solve for x
    x = 27,362,524.23/8,676.29
  6. Step 6: Final answer
    x = 3,153.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.