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Finding the Fourth Proportional to 8,676.39, 13,014.47 and 2,102.63

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Solution

The fourth proportional to 8,676.39, 13,014.47 and 2,102.63 is: 3,153.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676.39 : 13,014.47 = 2,102.63 : x
  2. Step 2: Convert to fraction form
    8,676.39/13,014.47 = 2,102.63/x
  3. Step 3: Cross multiply
    8,676.39x = 13,014.47 × 2,102.63
  4. Step 4: Simplify right side
    8,676.39x = 27,364,665.05
  5. Step 5: Solve for x
    x = 27,364,665.05/8,676.39
  6. Step 6: Final answer
    x = 3,153.92

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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.