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Finding the Fourth Proportional to 10,161.99, 15,232.51 and 5,770.17

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Solution

The fourth proportional to 10,161.99, 15,232.51 and 5,770.17 is: 8,649.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,161.99 : 15,232.51 = 5,770.17 : x
  2. Step 2: Convert to fraction form
    10,161.99/15,232.51 = 5,770.17/x
  3. Step 3: Cross multiply
    10,161.99x = 15,232.51 × 5,770.17
  4. Step 4: Simplify right side
    10,161.99x = 87,894,172.23
  5. Step 5: Solve for x
    x = 87,894,172.23/10,161.99
  6. Step 6: Final answer
    x = 8,649.31

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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.