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Finding the Fourth Proportional to 11,712.39, 16,163.16 and 7,235.13

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Solution

The fourth proportional to 11,712.39, 16,163.16 and 7,235.13 is: 9,984.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.39 : 16,163.16 = 7,235.13 : x
  2. Step 2: Convert to fraction form
    11,712.39/16,163.16 = 7,235.13/x
  3. Step 3: Cross multiply
    11,712.39x = 16,163.16 × 7,235.13
  4. Step 4: Simplify right side
    11,712.39x = 116,942,563.81
  5. Step 5: Solve for x
    x = 116,942,563.81/11,712.39
  6. Step 6: Final answer
    x = 9,984.52

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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.