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Finding the Fourth Proportional to 8,634.46, 12,948.45 and 2,789.50

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Solution

The fourth proportional to 8,634.46, 12,948.45 and 2,789.50 is: 4,183.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,634.46 : 12,948.45 = 2,789.50 : x
  2. Step 2: Convert to fraction form
    8,634.46/12,948.45 = 2,789.50/x
  3. Step 3: Cross multiply
    8,634.46x = 12,948.45 × 2,789.50
  4. Step 4: Simplify right side
    8,634.46x = 36,119,701.28
  5. Step 5: Solve for x
    x = 36,119,701.28/8,634.46
  6. Step 6: Final answer
    x = 4,183.20

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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.