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Finding the Fourth Proportional to 6,520.74, 8,996.14 and 4,000.83

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Solution

The fourth proportional to 6,520.74, 8,996.14 and 4,000.83 is: 5,519.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.74 : 8,996.14 = 4,000.83 : x
  2. Step 2: Convert to fraction form
    6,520.74/8,996.14 = 4,000.83/x
  3. Step 3: Cross multiply
    6,520.74x = 8,996.14 × 4,000.83
  4. Step 4: Simplify right side
    6,520.74x = 35,992,026.80
  5. Step 5: Solve for x
    x = 35,992,026.80/6,520.74
  6. Step 6: Final answer
    x = 5,519.62

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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.