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Finding the Fourth Proportional to 11,506.44, 17,256 and 3,713.44

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Solution

The fourth proportional to 11,506.44, 17,256 and 3,713.44 is: 5,568.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.44 : 17,256 = 3,713.44 : x
  2. Step 2: Convert to fraction form
    11,506.44/17,256 = 3,713.44/x
  3. Step 3: Cross multiply
    11,506.44x = 17,256 × 3,713.44
  4. Step 4: Simplify right side
    11,506.44x = 64,079,120.64
  5. Step 5: Solve for x
    x = 64,079,120.64/11,506.44
  6. Step 6: Final answer
    x = 5,568.98

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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.