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Finding the Fourth Proportional to 8,676.56, 13,014.74 and 2,102.72

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Solution

The fourth proportional to 8,676.56, 13,014.74 and 2,102.72 is: 3,154.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676.56 : 13,014.74 = 2,102.72 : x
  2. Step 2: Convert to fraction form
    8,676.56/13,014.74 = 2,102.72/x
  3. Step 3: Cross multiply
    8,676.56x = 13,014.74 × 2,102.72
  4. Step 4: Simplify right side
    8,676.56x = 27,366,354.09
  5. Step 5: Solve for x
    x = 27,366,354.09/8,676.56
  6. Step 6: Final answer
    x = 3,154.06

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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.