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Finding the Fourth Proportional to 11,902.64, 17,851.01 and 4,884.64

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Solution

The fourth proportional to 11,902.64, 17,851.01 and 4,884.64 is: 7,325.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.64 : 17,851.01 = 4,884.64 : x
  2. Step 2: Convert to fraction form
    11,902.64/17,851.01 = 4,884.64/x
  3. Step 3: Cross multiply
    11,902.64x = 17,851.01 × 4,884.64
  4. Step 4: Simplify right side
    11,902.64x = 87,195,688.44
  5. Step 5: Solve for x
    x = 87,195,688.44/11,902.64
  6. Step 6: Final answer
    x = 7,325.75

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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.