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Finding the Fourth Proportional to 8,678.34, 13,014.27 and 2,833.38

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Solution

The fourth proportional to 8,678.34, 13,014.27 and 2,833.38 is: 4,249.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.34 : 13,014.27 = 2,833.38 : x
  2. Step 2: Convert to fraction form
    8,678.34/13,014.27 = 2,833.38/x
  3. Step 3: Cross multiply
    8,678.34x = 13,014.27 × 2,833.38
  4. Step 4: Simplify right side
    8,678.34x = 36,874,372.33
  5. Step 5: Solve for x
    x = 36,874,372.33/8,678.34
  6. Step 6: Final answer
    x = 4,249.01

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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.