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Finding the Fourth Proportional to 7,676.60, 11,514.54 and 2,997.46

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Solution

The fourth proportional to 7,676.60, 11,514.54 and 2,997.46 is: 4,496.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.60 : 11,514.54 = 2,997.46 : x
  2. Step 2: Convert to fraction form
    7,676.60/11,514.54 = 2,997.46/x
  3. Step 3: Cross multiply
    7,676.60x = 11,514.54 × 2,997.46
  4. Step 4: Simplify right side
    7,676.60x = 34,514,414.23
  5. Step 5: Solve for x
    x = 34,514,414.23/7,676.60
  6. Step 6: Final answer
    x = 4,496.06

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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.