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Finding the Fourth Proportional to 7,767.24, 11,644.76 and 5,295.92

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Solution

The fourth proportional to 7,767.24, 11,644.76 and 5,295.92 is: 7,939.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.24 : 11,644.76 = 5,295.92 : x
  2. Step 2: Convert to fraction form
    7,767.24/11,644.76 = 5,295.92/x
  3. Step 3: Cross multiply
    7,767.24x = 11,644.76 × 5,295.92
  4. Step 4: Simplify right side
    7,767.24x = 61,669,717.38
  5. Step 5: Solve for x
    x = 61,669,717.38/7,767.24
  6. Step 6: Final answer
    x = 7,939.72

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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.