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Finding the Fourth Proportional to 8,476.98, 11,701.89 and 7,945.62

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Solution

The fourth proportional to 8,476.98, 11,701.89 and 7,945.62 is: 10,968.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,476.98 : 11,701.89 = 7,945.62 : x
  2. Step 2: Convert to fraction form
    8,476.98/11,701.89 = 7,945.62/x
  3. Step 3: Cross multiply
    8,476.98x = 11,701.89 × 7,945.62
  4. Step 4: Simplify right side
    8,476.98x = 92,978,771.22
  5. Step 5: Solve for x
    x = 92,978,771.22/8,476.98
  6. Step 6: Final answer
    x = 10,968.38

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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.