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Finding the Fourth Proportional to 8,454.29, 12,676.77 and 2,610.14

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Solution

The fourth proportional to 8,454.29, 12,676.77 and 2,610.14 is: 3,913.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.29 : 12,676.77 = 2,610.14 : x
  2. Step 2: Convert to fraction form
    8,454.29/12,676.77 = 2,610.14/x
  3. Step 3: Cross multiply
    8,454.29x = 12,676.77 × 2,610.14
  4. Step 4: Simplify right side
    8,454.29x = 33,088,081.06
  5. Step 5: Solve for x
    x = 33,088,081.06/8,454.29
  6. Step 6: Final answer
    x = 3,913.76

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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.