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Finding the Fourth Proportional to 7,808.49, 11,704.52 and 2,874.98

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Solution

The fourth proportional to 7,808.49, 11,704.52 and 2,874.98 is: 4,309.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.49 : 11,704.52 = 2,874.98 : x
  2. Step 2: Convert to fraction form
    7,808.49/11,704.52 = 2,874.98/x
  3. Step 3: Cross multiply
    7,808.49x = 11,704.52 × 2,874.98
  4. Step 4: Simplify right side
    7,808.49x = 33,650,188.01
  5. Step 5: Solve for x
    x = 33,650,188.01/7,808.49
  6. Step 6: Final answer
    x = 4,309.44

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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.