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Finding the Fourth Proportional to 7,676.36, 11,520 and 3,295.07

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Solution

The fourth proportional to 7,676.36, 11,520 and 3,295.07 is: 4,944.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.36 : 11,520 = 3,295.07 : x
  2. Step 2: Convert to fraction form
    7,676.36/11,520 = 3,295.07/x
  3. Step 3: Cross multiply
    7,676.36x = 11,520 × 3,295.07
  4. Step 4: Simplify right side
    7,676.36x = 37,959,148.80
  5. Step 5: Solve for x
    x = 37,959,148.80/7,676.36
  6. Step 6: Final answer
    x = 4,944.94

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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.