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Finding the Fourth Proportional to 27,535.14, 41,302.71 and 6,758.64

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Solution

The fourth proportional to 27,535.14, 41,302.71 and 6,758.64 is: 10,137.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,535.14 : 41,302.71 = 6,758.64 : x
  2. Step 2: Convert to fraction form
    27,535.14/41,302.71 = 6,758.64/x
  3. Step 3: Cross multiply
    27,535.14x = 41,302.71 × 6,758.64
  4. Step 4: Simplify right side
    27,535.14x = 279,150,147.91
  5. Step 5: Solve for x
    x = 279,150,147.91/27,535.14
  6. Step 6: Final answer
    x = 10,137.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.