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Finding the Fourth Proportional to 11,637.42, 16,059.72 and 6,332.28

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Solution

The fourth proportional to 11,637.42, 16,059.72 and 6,332.28 is: 8,738.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,637.42 : 16,059.72 = 6,332.28 : x
  2. Step 2: Convert to fraction form
    11,637.42/16,059.72 = 6,332.28/x
  3. Step 3: Cross multiply
    11,637.42x = 16,059.72 × 6,332.28
  4. Step 4: Simplify right side
    11,637.42x = 101,694,571.66
  5. Step 5: Solve for x
    x = 101,694,571.66/11,637.42
  6. Step 6: Final answer
    x = 8,738.58

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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.