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Finding the Fourth Proportional to 11,973.51, 17,963.17 and 3,653.67

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Solution

The fourth proportional to 11,973.51, 17,963.17 and 3,653.67 is: 5,481.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,973.51 : 17,963.17 = 3,653.67 : x
  2. Step 2: Convert to fraction form
    11,973.51/17,963.17 = 3,653.67/x
  3. Step 3: Cross multiply
    11,973.51x = 17,963.17 × 3,653.67
  4. Step 4: Simplify right side
    11,973.51x = 65,631,495.33
  5. Step 5: Solve for x
    x = 65,631,495.33/11,973.51
  6. Step 6: Final answer
    x = 5,481.39

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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.