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Finding the Fourth Proportional to 11,157.67, 16,736.48 and 2,837.67

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Solution

The fourth proportional to 11,157.67, 16,736.48 and 2,837.67 is: 4,256.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,157.67 : 16,736.48 = 2,837.67 : x
  2. Step 2: Convert to fraction form
    11,157.67/16,736.48 = 2,837.67/x
  3. Step 3: Cross multiply
    11,157.67x = 16,736.48 × 2,837.67
  4. Step 4: Simplify right side
    11,157.67x = 47,492,607.20
  5. Step 5: Solve for x
    x = 47,492,607.20/11,157.67
  6. Step 6: Final answer
    x = 4,256.50

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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.