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Finding the Fourth Proportional to 11,157.84, 16,735.28 and 2,837.12

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Solution

The fourth proportional to 11,157.84, 16,735.28 and 2,837.12 is: 4,255.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,157.84 : 16,735.28 = 2,837.12 : x
  2. Step 2: Convert to fraction form
    11,157.84/16,735.28 = 2,837.12/x
  3. Step 3: Cross multiply
    11,157.84x = 16,735.28 × 2,837.12
  4. Step 4: Simplify right side
    11,157.84x = 47,479,899.73
  5. Step 5: Solve for x
    x = 47,479,899.73/11,157.84
  6. Step 6: Final answer
    x = 4,255.29

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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.