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Finding the Fourth Proportional to 11,507.49, 17,224.11 and 5,953.19

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Solution

The fourth proportional to 11,507.49, 17,224.11 and 5,953.19 is: 8,910.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,507.49 : 17,224.11 = 5,953.19 : x
  2. Step 2: Convert to fraction form
    11,507.49/17,224.11 = 5,953.19/x
  3. Step 3: Cross multiply
    11,507.49x = 17,224.11 × 5,953.19
  4. Step 4: Simplify right side
    11,507.49x = 102,538,313.29
  5. Step 5: Solve for x
    x = 102,538,313.29/11,507.49
  6. Step 6: Final answer
    x = 8,910.57

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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.