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Finding the Fourth Proportional to 8,354.92, 12,534.10 and 3,424.46

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Solution

The fourth proportional to 8,354.92, 12,534.10 and 3,424.46 is: 5,137.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.92 : 12,534.10 = 3,424.46 : x
  2. Step 2: Convert to fraction form
    8,354.92/12,534.10 = 3,424.46/x
  3. Step 3: Cross multiply
    8,354.92x = 12,534.10 × 3,424.46
  4. Step 4: Simplify right side
    8,354.92x = 42,922,524.09
  5. Step 5: Solve for x
    x = 42,922,524.09/8,354.92
  6. Step 6: Final answer
    x = 5,137.39

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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.