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Finding the Fourth Proportional to 7,797.30, 10,760.27 and 4,212.25

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Solution

The fourth proportional to 7,797.30, 10,760.27 and 4,212.25 is: 5,812.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.30 : 10,760.27 = 4,212.25 : x
  2. Step 2: Convert to fraction form
    7,797.30/10,760.27 = 4,212.25/x
  3. Step 3: Cross multiply
    7,797.30x = 10,760.27 × 4,212.25
  4. Step 4: Simplify right side
    7,797.30x = 45,324,955.49
  5. Step 5: Solve for x
    x = 45,324,955.49/7,797.30
  6. Step 6: Final answer
    x = 5,812.91

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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.