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Finding the Fourth Proportional to 7,057.56, 9,734.97 and 5,376

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Solution

The fourth proportional to 7,057.56, 9,734.97 and 5,376 is: 7,415.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.56 : 9,734.97 = 5,376 : x
  2. Step 2: Convert to fraction form
    7,057.56/9,734.97 = 5,376/x
  3. Step 3: Cross multiply
    7,057.56x = 9,734.97 × 5,376
  4. Step 4: Simplify right side
    7,057.56x = 52,335,198.72
  5. Step 5: Solve for x
    x = 52,335,198.72/7,057.56
  6. Step 6: Final answer
    x = 7,415.48

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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.