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Finding the Fourth Proportional to 7,771.92, 10,725.25 and 4,235.13

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Solution

The fourth proportional to 7,771.92, 10,725.25 and 4,235.13 is: 5,844.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.92 : 10,725.25 = 4,235.13 : x
  2. Step 2: Convert to fraction form
    7,771.92/10,725.25 = 4,235.13/x
  3. Step 3: Cross multiply
    7,771.92x = 10,725.25 × 4,235.13
  4. Step 4: Simplify right side
    7,771.92x = 45,422,828.03
  5. Step 5: Solve for x
    x = 45,422,828.03/7,771.92
  6. Step 6: Final answer
    x = 5,844.48

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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.