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Finding the Fourth Proportional to 8,426.54, 12,650.74 and 6,480.12

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Solution

The fourth proportional to 8,426.54, 12,650.74 and 6,480.12 is: 9,728.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,426.54 : 12,650.74 = 6,480.12 : x
  2. Step 2: Convert to fraction form
    8,426.54/12,650.74 = 6,480.12/x
  3. Step 3: Cross multiply
    8,426.54x = 12,650.74 × 6,480.12
  4. Step 4: Simplify right side
    8,426.54x = 81,978,313.29
  5. Step 5: Solve for x
    x = 81,978,313.29/8,426.54
  6. Step 6: Final answer
    x = 9,728.59

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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.