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Finding the Fourth Proportional to 7,652.82, 10,546.58 and 5,971.56

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Solution

The fourth proportional to 7,652.82, 10,546.58 and 5,971.56 is: 8,229.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.82 : 10,546.58 = 5,971.56 : x
  2. Step 2: Convert to fraction form
    7,652.82/10,546.58 = 5,971.56/x
  3. Step 3: Cross multiply
    7,652.82x = 10,546.58 × 5,971.56
  4. Step 4: Simplify right side
    7,652.82x = 62,979,535.26
  5. Step 5: Solve for x
    x = 62,979,535.26/7,652.82
  6. Step 6: Final answer
    x = 8,229.59

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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.