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Finding the Fourth Proportional to 8,215.83, 12,325.77 and 3,284.15

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Solution

The fourth proportional to 8,215.83, 12,325.77 and 3,284.15 is: 4,927.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.83 : 12,325.77 = 3,284.15 : x
  2. Step 2: Convert to fraction form
    8,215.83/12,325.77 = 3,284.15/x
  3. Step 3: Cross multiply
    8,215.83x = 12,325.77 × 3,284.15
  4. Step 4: Simplify right side
    8,215.83x = 40,479,615.92
  5. Step 5: Solve for x
    x = 40,479,615.92/8,215.83
  6. Step 6: Final answer
    x = 4,927.03

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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.