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Finding the Fourth Proportional to 7,797.27, 11,695.92 and 5,181.51

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Solution

The fourth proportional to 7,797.27, 11,695.92 and 5,181.51 is: 7,772.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.27 : 11,695.92 = 5,181.51 : x
  2. Step 2: Convert to fraction form
    7,797.27/11,695.92 = 5,181.51/x
  3. Step 3: Cross multiply
    7,797.27x = 11,695.92 × 5,181.51
  4. Step 4: Simplify right side
    7,797.27x = 60,602,526.44
  5. Step 5: Solve for x
    x = 60,602,526.44/7,797.27
  6. Step 6: Final answer
    x = 7,772.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.