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Finding the Fourth Proportional to 8,380.06, 12,571.71 and 3,185.53

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Solution

The fourth proportional to 8,380.06, 12,571.71 and 3,185.53 is: 4,778.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.06 : 12,571.71 = 3,185.53 : x
  2. Step 2: Convert to fraction form
    8,380.06/12,571.71 = 3,185.53/x
  3. Step 3: Cross multiply
    8,380.06x = 12,571.71 × 3,185.53
  4. Step 4: Simplify right side
    8,380.06x = 40,047,587.02
  5. Step 5: Solve for x
    x = 40,047,587.02/8,380.06
  6. Step 6: Final answer
    x = 4,778.91

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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.