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Finding the Fourth Proportional to 7,505, 10,356.92 and 4,193

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Solution

The fourth proportional to 7,505, 10,356.92 and 4,193 is: 5,786.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,505 : 10,356.92 = 4,193 : x
  2. Step 2: Convert to fraction form
    7,505/10,356.92 = 4,193/x
  3. Step 3: Cross multiply
    7,505x = 10,356.92 × 4,193
  4. Step 4: Simplify right side
    7,505x = 43,426,565.56
  5. Step 5: Solve for x
    x = 43,426,565.56/7,505
  6. Step 6: Final answer
    x = 5,786.35

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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.