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Finding the Fourth Proportional to 25,183, 37,764.42 and 7,649.56

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Solution

The fourth proportional to 25,183, 37,764.42 and 7,649.56 is: 11,471.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,183 : 37,764.42 = 7,649.56 : x
  2. Step 2: Convert to fraction form
    25,183/37,764.42 = 7,649.56/x
  3. Step 3: Cross multiply
    25,183x = 37,764.42 × 7,649.56
  4. Step 4: Simplify right side
    25,183x = 288,881,196.66
  5. Step 5: Solve for x
    x = 288,881,196.66/25,183
  6. Step 6: Final answer
    x = 11,471.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.