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Finding the Fourth Proportional to 7,525.62, 10,385.94 and 4,168.75

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Solution

The fourth proportional to 7,525.62, 10,385.94 and 4,168.75 is: 5,753.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,525.62 : 10,385.94 = 4,168.75 : x
  2. Step 2: Convert to fraction form
    7,525.62/10,385.94 = 4,168.75/x
  3. Step 3: Cross multiply
    7,525.62x = 10,385.94 × 4,168.75
  4. Step 4: Simplify right side
    7,525.62x = 43,296,387.38
  5. Step 5: Solve for x
    x = 43,296,387.38/7,525.62
  6. Step 6: Final answer
    x = 5,753.20

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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.