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Finding the Fourth Proportional to 7,525.38, 10,385.12 and 4,168.25

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Solution

The fourth proportional to 7,525.38, 10,385.12 and 4,168.25 is: 5,752.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,525.38 : 10,385.12 = 4,168.25 : x
  2. Step 2: Convert to fraction form
    7,525.38/10,385.12 = 4,168.25/x
  3. Step 3: Cross multiply
    7,525.38x = 10,385.12 × 4,168.25
  4. Step 4: Simplify right side
    7,525.38x = 43,287,703.67
  5. Step 5: Solve for x
    x = 43,287,703.67/7,525.38
  6. Step 6: Final answer
    x = 5,752.23

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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.