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Finding the Fourth Proportional to 27,841.38, 41,764.50 and 7,064.88

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Solution

The fourth proportional to 27,841.38, 41,764.50 and 7,064.88 is: 10,597.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,841.38 : 41,764.50 = 7,064.88 : x
  2. Step 2: Convert to fraction form
    27,841.38/41,764.50 = 7,064.88/x
  3. Step 3: Cross multiply
    27,841.38x = 41,764.50 × 7,064.88
  4. Step 4: Simplify right side
    27,841.38x = 295,060,936.61
  5. Step 5: Solve for x
    x = 295,060,936.61/27,841.38
  6. Step 6: Final answer
    x = 10,597.93

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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.