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Finding the Fourth Proportional to 7,685.75, 10,604.46 and 5,128.48

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Solution

The fourth proportional to 7,685.75, 10,604.46 and 5,128.48 is: 7,076.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.75 : 10,604.46 = 5,128.48 : x
  2. Step 2: Convert to fraction form
    7,685.75/10,604.46 = 5,128.48/x
  3. Step 3: Cross multiply
    7,685.75x = 10,604.46 × 5,128.48
  4. Step 4: Simplify right side
    7,685.75x = 54,384,735.38
  5. Step 5: Solve for x
    x = 54,384,735.38/7,685.75
  6. Step 6: Final answer
    x = 7,076.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.