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Finding the Fourth Proportional to 11,723.49, 16,163.33 and 7,530.21

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Solution

The fourth proportional to 11,723.49, 16,163.33 and 7,530.21 is: 10,382.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,723.49 : 16,163.33 = 7,530.21 : x
  2. Step 2: Convert to fraction form
    11,723.49/16,163.33 = 7,530.21/x
  3. Step 3: Cross multiply
    11,723.49x = 16,163.33 × 7,530.21
  4. Step 4: Simplify right side
    11,723.49x = 121,713,231.55
  5. Step 5: Solve for x
    x = 121,713,231.55/11,723.49
  6. Step 6: Final answer
    x = 10,382.00

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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.