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Finding the Fourth Proportional to 6,680.69, 9,971.69 and 5,892.75

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Solution

The fourth proportional to 6,680.69, 9,971.69 and 5,892.75 is: 8,795.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680.69 : 9,971.69 = 5,892.75 : x
  2. Step 2: Convert to fraction form
    6,680.69/9,971.69 = 5,892.75/x
  3. Step 3: Cross multiply
    6,680.69x = 9,971.69 × 5,892.75
  4. Step 4: Simplify right side
    6,680.69x = 58,760,676.25
  5. Step 5: Solve for x
    x = 58,760,676.25/6,680.69
  6. Step 6: Final answer
    x = 8,795.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.