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Finding the Fourth Proportional to 8,319.43, 12,471.86 and 3,128.95

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Solution

The fourth proportional to 8,319.43, 12,471.86 and 3,128.95 is: 4,690.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,319.43 : 12,471.86 = 3,128.95 : x
  2. Step 2: Convert to fraction form
    8,319.43/12,471.86 = 3,128.95/x
  3. Step 3: Cross multiply
    8,319.43x = 12,471.86 × 3,128.95
  4. Step 4: Simplify right side
    8,319.43x = 39,023,880.44
  5. Step 5: Solve for x
    x = 39,023,880.44/8,319.43
  6. Step 6: Final answer
    x = 4,690.69

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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.