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Finding the Fourth Proportional to 8,553.98, 12,830.94 and 6,833.54

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Solution

The fourth proportional to 8,553.98, 12,830.94 and 6,833.54 is: 10,250.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,553.98 : 12,830.94 = 6,833.54 : x
  2. Step 2: Convert to fraction form
    8,553.98/12,830.94 = 6,833.54/x
  3. Step 3: Cross multiply
    8,553.98x = 12,830.94 × 6,833.54
  4. Step 4: Simplify right side
    8,553.98x = 87,680,741.73
  5. Step 5: Solve for x
    x = 87,680,741.73/8,553.98
  6. Step 6: Final answer
    x = 10,250.29

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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.