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Finding the Fourth Proportional to 7,674.70, 11,512.04 and 5,077.03

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Solution

The fourth proportional to 7,674.70, 11,512.04 and 5,077.03 is: 7,615.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.70 : 11,512.04 = 5,077.03 : x
  2. Step 2: Convert to fraction form
    7,674.70/11,512.04 = 5,077.03/x
  3. Step 3: Cross multiply
    7,674.70x = 11,512.04 × 5,077.03
  4. Step 4: Simplify right side
    7,674.70x = 58,446,972.44
  5. Step 5: Solve for x
    x = 58,446,972.44/7,674.70
  6. Step 6: Final answer
    x = 7,615.54

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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.