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Finding the Fourth Proportional to 8,354, 12,531 and 3,426.32

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Solution

The fourth proportional to 8,354, 12,531 and 3,426.32 is: 5,139.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354 : 12,531 = 3,426.32 : x
  2. Step 2: Convert to fraction form
    8,354/12,531 = 3,426.32/x
  3. Step 3: Cross multiply
    8,354x = 12,531 × 3,426.32
  4. Step 4: Simplify right side
    8,354x = 42,935,215.92
  5. Step 5: Solve for x
    x = 42,935,215.92/8,354
  6. Step 6: Final answer
    x = 5,139.48

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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.