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Finding the Fourth Proportional to 11,637.49, 16,059.26 and 6,332.31

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Solution

The fourth proportional to 11,637.49, 16,059.26 and 6,332.31 is: 8,738.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,637.49 : 16,059.26 = 6,332.31 : x
  2. Step 2: Convert to fraction form
    11,637.49/16,059.26 = 6,332.31/x
  3. Step 3: Cross multiply
    11,637.49x = 16,059.26 × 6,332.31
  4. Step 4: Simplify right side
    11,637.49x = 101,692,212.69
  5. Step 5: Solve for x
    x = 101,692,212.69/11,637.49
  6. Step 6: Final answer
    x = 8,738.33

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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.