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Finding the Fourth Proportional to 11,797.74, 17,697.24 and 3,032.73

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Solution

The fourth proportional to 11,797.74, 17,697.24 and 3,032.73 is: 4,549.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.74 : 17,697.24 = 3,032.73 : x
  2. Step 2: Convert to fraction form
    11,797.74/17,697.24 = 3,032.73/x
  3. Step 3: Cross multiply
    11,797.74x = 17,697.24 × 3,032.73
  4. Step 4: Simplify right side
    11,797.74x = 53,670,950.67
  5. Step 5: Solve for x
    x = 53,670,950.67/11,797.74
  6. Step 6: Final answer
    x = 4,549.26

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Why These Related Problems?

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