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Finding the Fourth Proportional to 8,356.46, 12,536.57 and 2,734.41

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Solution

The fourth proportional to 8,356.46, 12,536.57 and 2,734.41 is: 4,102.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.46 : 12,536.57 = 2,734.41 : x
  2. Step 2: Convert to fraction form
    8,356.46/12,536.57 = 2,734.41/x
  3. Step 3: Cross multiply
    8,356.46x = 12,536.57 × 2,734.41
  4. Step 4: Simplify right side
    8,356.46x = 34,280,176.22
  5. Step 5: Solve for x
    x = 34,280,176.22/8,356.46
  6. Step 6: Final answer
    x = 4,102.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.