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Finding the Fourth Proportional to 7,231.88, 9,976.67 and 4,996.89

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Solution

The fourth proportional to 7,231.88, 9,976.67 and 4,996.89 is: 6,893.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.88 : 9,976.67 = 4,996.89 : x
  2. Step 2: Convert to fraction form
    7,231.88/9,976.67 = 4,996.89/x
  3. Step 3: Cross multiply
    7,231.88x = 9,976.67 × 4,996.89
  4. Step 4: Simplify right side
    7,231.88x = 49,852,316.31
  5. Step 5: Solve for x
    x = 49,852,316.31/7,231.88
  6. Step 6: Final answer
    x = 6,893.41

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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.