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Finding the Fourth Proportional to 11,851.44, 17,774.34 and 5,274

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Solution

The fourth proportional to 11,851.44, 17,774.34 and 5,274 is: 7,909.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851.44 : 17,774.34 = 5,274 : x
  2. Step 2: Convert to fraction form
    11,851.44/17,774.34 = 5,274/x
  3. Step 3: Cross multiply
    11,851.44x = 17,774.34 × 5,274
  4. Step 4: Simplify right side
    11,851.44x = 93,741,869.16
  5. Step 5: Solve for x
    x = 93,741,869.16/11,851.44
  6. Step 6: Final answer
    x = 7,909.75

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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.