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Finding the Fourth Proportional to 7,846.29, 10,837.46 and 5,865.64

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Solution

The fourth proportional to 7,846.29, 10,837.46 and 5,865.64 is: 8,101.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.29 : 10,837.46 = 5,865.64 : x
  2. Step 2: Convert to fraction form
    7,846.29/10,837.46 = 5,865.64/x
  3. Step 3: Cross multiply
    7,846.29x = 10,837.46 × 5,865.64
  4. Step 4: Simplify right side
    7,846.29x = 63,568,638.87
  5. Step 5: Solve for x
    x = 63,568,638.87/7,846.29
  6. Step 6: Final answer
    x = 8,101.74

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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.