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Finding the Fourth Proportional to 10,205.82, 15,294.12 and 5,814.20

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Solution

The fourth proportional to 10,205.82, 15,294.12 and 5,814.20 is: 8,712.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.82 : 15,294.12 = 5,814.20 : x
  2. Step 2: Convert to fraction form
    10,205.82/15,294.12 = 5,814.20/x
  3. Step 3: Cross multiply
    10,205.82x = 15,294.12 × 5,814.20
  4. Step 4: Simplify right side
    10,205.82x = 88,923,072.50
  5. Step 5: Solve for x
    x = 88,923,072.50/10,205.82
  6. Step 6: Final answer
    x = 8,712.98

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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.