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Finding the Fourth Proportional to 8,271.46, 12,400.21 and 3,587.94

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Solution

The fourth proportional to 8,271.46, 12,400.21 and 3,587.94 is: 5,378.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.46 : 12,400.21 = 3,587.94 : x
  2. Step 2: Convert to fraction form
    8,271.46/12,400.21 = 3,587.94/x
  3. Step 3: Cross multiply
    8,271.46x = 12,400.21 × 3,587.94
  4. Step 4: Simplify right side
    8,271.46x = 44,491,203.86
  5. Step 5: Solve for x
    x = 44,491,203.86/8,271.46
  6. Step 6: Final answer
    x = 5,378.88

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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.