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Finding the Fourth Proportional to 7,996.50, 11,040.84 and 6,502.05

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Solution

The fourth proportional to 7,996.50, 11,040.84 and 6,502.05 is: 8,977.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,996.50 : 11,040.84 = 6,502.05 : x
  2. Step 2: Convert to fraction form
    7,996.50/11,040.84 = 6,502.05/x
  3. Step 3: Cross multiply
    7,996.50x = 11,040.84 × 6,502.05
  4. Step 4: Simplify right side
    7,996.50x = 71,788,093.72
  5. Step 5: Solve for x
    x = 71,788,093.72/7,996.50
  6. Step 6: Final answer
    x = 8,977.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.