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Finding the Fourth Proportional to 11,652, 17,469.36 and 7,496.64

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Solution

The fourth proportional to 11,652, 17,469.36 and 7,496.64 is: 11,239.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652 : 17,469.36 = 7,496.64 : x
  2. Step 2: Convert to fraction form
    11,652/17,469.36 = 7,496.64/x
  3. Step 3: Cross multiply
    11,652x = 17,469.36 × 7,496.64
  4. Step 4: Simplify right side
    11,652x = 130,961,502.95
  5. Step 5: Solve for x
    x = 130,961,502.95/11,652
  6. Step 6: Final answer
    x = 11,239.40

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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.