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Finding the Fourth Proportional to 8,492.90, 12,734.44 and 3,292.70

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Solution

The fourth proportional to 8,492.90, 12,734.44 and 3,292.70 is: 4,937.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.90 : 12,734.44 = 3,292.70 : x
  2. Step 2: Convert to fraction form
    8,492.90/12,734.44 = 3,292.70/x
  3. Step 3: Cross multiply
    8,492.90x = 12,734.44 × 3,292.70
  4. Step 4: Simplify right side
    8,492.90x = 41,930,618.68
  5. Step 5: Solve for x
    x = 41,930,618.68/8,492.90
  6. Step 6: Final answer
    x = 4,937.14

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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.