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Finding the Fourth Proportional to 8,570.43, 11,825.82 and 5,211.45

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Solution

The fourth proportional to 8,570.43, 11,825.82 and 5,211.45 is: 7,190.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.43 : 11,825.82 = 5,211.45 : x
  2. Step 2: Convert to fraction form
    8,570.43/11,825.82 = 5,211.45/x
  3. Step 3: Cross multiply
    8,570.43x = 11,825.82 × 5,211.45
  4. Step 4: Simplify right side
    8,570.43x = 61,629,669.64
  5. Step 5: Solve for x
    x = 61,629,669.64/8,570.43
  6. Step 6: Final answer
    x = 7,190.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.