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Finding the Fourth Proportional to 7,517.56, 10,375.70 and 4,533.88

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Solution

The fourth proportional to 7,517.56, 10,375.70 and 4,533.88 is: 6,257.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,517.56 : 10,375.70 = 4,533.88 : x
  2. Step 2: Convert to fraction form
    7,517.56/10,375.70 = 4,533.88/x
  3. Step 3: Cross multiply
    7,517.56x = 10,375.70 × 4,533.88
  4. Step 4: Simplify right side
    7,517.56x = 47,042,178.72
  5. Step 5: Solve for x
    x = 47,042,178.72/7,517.56
  6. Step 6: Final answer
    x = 6,257.64

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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.