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Finding the Fourth Proportional to 8,440.68, 12,661.44 and 3,509.80

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Solution

The fourth proportional to 8,440.68, 12,661.44 and 3,509.80 is: 5,264.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440.68 : 12,661.44 = 3,509.80 : x
  2. Step 2: Convert to fraction form
    8,440.68/12,661.44 = 3,509.80/x
  3. Step 3: Cross multiply
    8,440.68x = 12,661.44 × 3,509.80
  4. Step 4: Simplify right side
    8,440.68x = 44,439,122.11
  5. Step 5: Solve for x
    x = 44,439,122.11/8,440.68
  6. Step 6: Final answer
    x = 5,264.87

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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.