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Finding the Fourth Proportional to 27,652.69, 41,479 and 6,876.19

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Solution

The fourth proportional to 27,652.69, 41,479 and 6,876.19 is: 10,314.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,652.69 : 41,479 = 6,876.19 : x
  2. Step 2: Convert to fraction form
    27,652.69/41,479 = 6,876.19/x
  3. Step 3: Cross multiply
    27,652.69x = 41,479 × 6,876.19
  4. Step 4: Simplify right side
    27,652.69x = 285,217,485.01
  5. Step 5: Solve for x
    x = 285,217,485.01/27,652.69
  6. Step 6: Final answer
    x = 10,314.28

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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.