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Finding the Fourth Proportional to 7,713, 11,570.04 and 3,096

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Solution

The fourth proportional to 7,713, 11,570.04 and 3,096 is: 4,644.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713 : 11,570.04 = 3,096 : x
  2. Step 2: Convert to fraction form
    7,713/11,570.04 = 3,096/x
  3. Step 3: Cross multiply
    7,713x = 11,570.04 × 3,096
  4. Step 4: Simplify right side
    7,713x = 35,820,843.84
  5. Step 5: Solve for x
    x = 35,820,843.84/7,713
  6. Step 6: Final answer
    x = 4,644.22

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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.