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Finding the Fourth Proportional to 11,667.37, 16,101.93 and 6,633.17

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Solution

The fourth proportional to 11,667.37, 16,101.93 and 6,633.17 is: 9,154.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,667.37 : 16,101.93 = 6,633.17 : x
  2. Step 2: Convert to fraction form
    11,667.37/16,101.93 = 6,633.17/x
  3. Step 3: Cross multiply
    11,667.37x = 16,101.93 × 6,633.17
  4. Step 4: Simplify right side
    11,667.37x = 106,806,879.27
  5. Step 5: Solve for x
    x = 106,806,879.27/11,667.37
  6. Step 6: Final answer
    x = 9,154.32

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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.