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Finding the Fourth Proportional to 6,676.84, 10,016.64 and 2,516.80

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Solution

The fourth proportional to 6,676.84, 10,016.64 and 2,516.80 is: 3,775.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.84 : 10,016.64 = 2,516.80 : x
  2. Step 2: Convert to fraction form
    6,676.84/10,016.64 = 2,516.80/x
  3. Step 3: Cross multiply
    6,676.84x = 10,016.64 × 2,516.80
  4. Step 4: Simplify right side
    6,676.84x = 25,209,879.55
  5. Step 5: Solve for x
    x = 25,209,879.55/6,676.84
  6. Step 6: Final answer
    x = 3,775.72

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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.