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Finding the Fourth Proportional to 7,512.68, 10,366.84 and 4,680.38

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Solution

The fourth proportional to 7,512.68, 10,366.84 and 4,680.38 is: 6,458.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,512.68 : 10,366.84 = 4,680.38 : x
  2. Step 2: Convert to fraction form
    7,512.68/10,366.84 = 4,680.38/x
  3. Step 3: Cross multiply
    7,512.68x = 10,366.84 × 4,680.38
  4. Step 4: Simplify right side
    7,512.68x = 48,520,750.60
  5. Step 5: Solve for x
    x = 48,520,750.60/7,512.68
  6. Step 6: Final answer
    x = 6,458.51

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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.