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Finding the Fourth Proportional to 8,382.25, 12,572.62 and 2,835.64

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Solution

The fourth proportional to 8,382.25, 12,572.62 and 2,835.64 is: 4,253.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.25 : 12,572.62 = 2,835.64 : x
  2. Step 2: Convert to fraction form
    8,382.25/12,572.62 = 2,835.64/x
  3. Step 3: Cross multiply
    8,382.25x = 12,572.62 × 2,835.64
  4. Step 4: Simplify right side
    8,382.25x = 35,651,432.80
  5. Step 5: Solve for x
    x = 35,651,432.80/8,382.25
  6. Step 6: Final answer
    x = 4,253.20

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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.