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Finding the Fourth Proportional to 7,632.28, 11,429.76 and 6,893.56

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Solution

The fourth proportional to 7,632.28, 11,429.76 and 6,893.56 is: 10,323.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,632.28 : 11,429.76 = 6,893.56 : x
  2. Step 2: Convert to fraction form
    7,632.28/11,429.76 = 6,893.56/x
  3. Step 3: Cross multiply
    7,632.28x = 11,429.76 × 6,893.56
  4. Step 4: Simplify right side
    7,632.28x = 78,791,736.35
  5. Step 5: Solve for x
    x = 78,791,736.35/7,632.28
  6. Step 6: Final answer
    x = 10,323.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.