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Finding the Fourth Proportional to 7,725.20, 10,656.24 and 5,072.72

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Solution

The fourth proportional to 7,725.20, 10,656.24 and 5,072.72 is: 6,997.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.20 : 10,656.24 = 5,072.72 : x
  2. Step 2: Convert to fraction form
    7,725.20/10,656.24 = 5,072.72/x
  3. Step 3: Cross multiply
    7,725.20x = 10,656.24 × 5,072.72
  4. Step 4: Simplify right side
    7,725.20x = 54,056,121.77
  5. Step 5: Solve for x
    x = 54,056,121.77/7,725.20
  6. Step 6: Final answer
    x = 6,997.38

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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.