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Finding the Fourth Proportional to 8,553.50, 12,820.91 and 5,434.90

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Solution

The fourth proportional to 8,553.50, 12,820.91 and 5,434.90 is: 8,146.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,553.50 : 12,820.91 = 5,434.90 : x
  2. Step 2: Convert to fraction form
    8,553.50/12,820.91 = 5,434.90/x
  3. Step 3: Cross multiply
    8,553.50x = 12,820.91 × 5,434.90
  4. Step 4: Simplify right side
    8,553.50x = 69,680,363.76
  5. Step 5: Solve for x
    x = 69,680,363.76/8,553.50
  6. Step 6: Final answer
    x = 8,146.42

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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.