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Finding the Fourth Proportional to 7,849.56, 10,832.28 and 4,264.44

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Solution

The fourth proportional to 7,849.56, 10,832.28 and 4,264.44 is: 5,884.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.56 : 10,832.28 = 4,264.44 : x
  2. Step 2: Convert to fraction form
    7,849.56/10,832.28 = 4,264.44/x
  3. Step 3: Cross multiply
    7,849.56x = 10,832.28 × 4,264.44
  4. Step 4: Simplify right side
    7,849.56x = 46,193,608.12
  5. Step 5: Solve for x
    x = 46,193,608.12/7,849.56
  6. Step 6: Final answer
    x = 5,884.87

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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.