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Finding the Fourth Proportional to 7,474.15, 11,211.22 and 6,511.87

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Solution

The fourth proportional to 7,474.15, 11,211.22 and 6,511.87 is: 9,767.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.15 : 11,211.22 = 6,511.87 : x
  2. Step 2: Convert to fraction form
    7,474.15/11,211.22 = 6,511.87/x
  3. Step 3: Cross multiply
    7,474.15x = 11,211.22 × 6,511.87
  4. Step 4: Simplify right side
    7,474.15x = 73,005,951.13
  5. Step 5: Solve for x
    x = 73,005,951.13/7,474.15
  6. Step 6: Final answer
    x = 9,767.80

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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.