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Finding the Fourth Proportional to 8,451.29, 12,678.74 and 2,528.63

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Solution

The fourth proportional to 8,451.29, 12,678.74 and 2,528.63 is: 3,793.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,451.29 : 12,678.74 = 2,528.63 : x
  2. Step 2: Convert to fraction form
    8,451.29/12,678.74 = 2,528.63/x
  3. Step 3: Cross multiply
    8,451.29x = 12,678.74 × 2,528.63
  4. Step 4: Simplify right side
    8,451.29x = 32,059,844.70
  5. Step 5: Solve for x
    x = 32,059,844.70/8,451.29
  6. Step 6: Final answer
    x = 3,793.49

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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.