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Finding the Fourth Proportional to 27,705.72, 41,558.67 and 6,929.22

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Solution

The fourth proportional to 27,705.72, 41,558.67 and 6,929.22 is: 10,393.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,705.72 : 41,558.67 = 6,929.22 : x
  2. Step 2: Convert to fraction form
    27,705.72/41,558.67 = 6,929.22/x
  3. Step 3: Cross multiply
    27,705.72x = 41,558.67 × 6,929.22
  4. Step 4: Simplify right side
    27,705.72x = 287,969,167.34
  5. Step 5: Solve for x
    x = 287,969,167.34/27,705.72
  6. Step 6: Final answer
    x = 10,393.85

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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.