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Finding the Fourth Proportional to 27,764.44, 41,644.08 and 7,775.74

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Solution

The fourth proportional to 27,764.44, 41,644.08 and 7,775.74 is: 11,662.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,764.44 : 41,644.08 = 7,775.74 : x
  2. Step 2: Convert to fraction form
    27,764.44/41,644.08 = 7,775.74/x
  3. Step 3: Cross multiply
    27,764.44x = 41,644.08 × 7,775.74
  4. Step 4: Simplify right side
    27,764.44x = 323,813,538.62
  5. Step 5: Solve for x
    x = 323,813,538.62/27,764.44
  6. Step 6: Final answer
    x = 11,662.89

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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.