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Finding the Fourth Proportional to 8,211.78, 12,303.50 and 6,467.92

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Solution

The fourth proportional to 8,211.78, 12,303.50 and 6,467.92 is: 9,690.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.78 : 12,303.50 = 6,467.92 : x
  2. Step 2: Convert to fraction form
    8,211.78/12,303.50 = 6,467.92/x
  3. Step 3: Cross multiply
    8,211.78x = 12,303.50 × 6,467.92
  4. Step 4: Simplify right side
    8,211.78x = 79,577,990.62
  5. Step 5: Solve for x
    x = 79,577,990.62/8,211.78
  6. Step 6: Final answer
    x = 9,690.71

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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.