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Finding the Fourth Proportional to 7,803.24, 11,704.86 and 3,183

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Solution

The fourth proportional to 7,803.24, 11,704.86 and 3,183 is: 4,774.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.24 : 11,704.86 = 3,183 : x
  2. Step 2: Convert to fraction form
    7,803.24/11,704.86 = 3,183/x
  3. Step 3: Cross multiply
    7,803.24x = 11,704.86 × 3,183
  4. Step 4: Simplify right side
    7,803.24x = 37,256,569.38
  5. Step 5: Solve for x
    x = 37,256,569.38/7,803.24
  6. Step 6: Final answer
    x = 4,774.50

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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.