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Finding the Fourth Proportional to 11,637.15, 16,059.61 and 6,332.31

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Solution

The fourth proportional to 11,637.15, 16,059.61 and 6,332.31 is: 8,738.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,637.15 : 16,059.61 = 6,332.31 : x
  2. Step 2: Convert to fraction form
    11,637.15/16,059.61 = 6,332.31/x
  3. Step 3: Cross multiply
    11,637.15x = 16,059.61 × 6,332.31
  4. Step 4: Simplify right side
    11,637.15x = 101,694,317.04
  5. Step 5: Solve for x
    x = 101,694,317.04/11,637.15
  6. Step 6: Final answer
    x = 8,738.76

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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.