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Finding the Fourth Proportional to 11,882.53, 17,825.42 and 4,089.25

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Solution

The fourth proportional to 11,882.53, 17,825.42 and 4,089.25 is: 6,134.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.53 : 17,825.42 = 4,089.25 : x
  2. Step 2: Convert to fraction form
    11,882.53/17,825.42 = 4,089.25/x
  3. Step 3: Cross multiply
    11,882.53x = 17,825.42 × 4,089.25
  4. Step 4: Simplify right side
    11,882.53x = 72,892,598.74
  5. Step 5: Solve for x
    x = 72,892,598.74/11,882.53
  6. Step 6: Final answer
    x = 6,134.43

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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.