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Finding the Fourth Proportional to 8,216.24, 12,334.60 and 6,567.60

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Solution

The fourth proportional to 8,216.24, 12,334.60 and 6,567.60 is: 9,859.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.24 : 12,334.60 = 6,567.60 : x
  2. Step 2: Convert to fraction form
    8,216.24/12,334.60 = 6,567.60/x
  3. Step 3: Cross multiply
    8,216.24x = 12,334.60 × 6,567.60
  4. Step 4: Simplify right side
    8,216.24x = 81,008,718.96
  5. Step 5: Solve for x
    x = 81,008,718.96/8,216.24
  6. Step 6: Final answer
    x = 9,859.59

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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.