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Finding the Fourth Proportional to 7,717.33, 10,644.48 and 4,734.61

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Solution

The fourth proportional to 7,717.33, 10,644.48 and 4,734.61 is: 6,530.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.33 : 10,644.48 = 4,734.61 : x
  2. Step 2: Convert to fraction form
    7,717.33/10,644.48 = 4,734.61/x
  3. Step 3: Cross multiply
    7,717.33x = 10,644.48 × 4,734.61
  4. Step 4: Simplify right side
    7,717.33x = 50,397,461.45
  5. Step 5: Solve for x
    x = 50,397,461.45/7,717.33
  6. Step 6: Final answer
    x = 6,530.43

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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.