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Finding the Fourth Proportional to 7,676.46, 11,516.18 and 2,996.28

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Solution

The fourth proportional to 7,676.46, 11,516.18 and 2,996.28 is: 4,495.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.46 : 11,516.18 = 2,996.28 : x
  2. Step 2: Convert to fraction form
    7,676.46/11,516.18 = 2,996.28/x
  3. Step 3: Cross multiply
    7,676.46x = 11,516.18 × 2,996.28
  4. Step 4: Simplify right side
    7,676.46x = 34,505,684.83
  5. Step 5: Solve for x
    x = 34,505,684.83/7,676.46
  6. Step 6: Final answer
    x = 4,495.00

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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.