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Finding the Fourth Proportional to 11,969.52, 17,954.57 and 4,072.02

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Solution

The fourth proportional to 11,969.52, 17,954.57 and 4,072.02 is: 6,108.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.52 : 17,954.57 = 4,072.02 : x
  2. Step 2: Convert to fraction form
    11,969.52/17,954.57 = 4,072.02/x
  3. Step 3: Cross multiply
    11,969.52x = 17,954.57 × 4,072.02
  4. Step 4: Simplify right side
    11,969.52x = 73,111,368.13
  5. Step 5: Solve for x
    x = 73,111,368.13/11,969.52
  6. Step 6: Final answer
    x = 6,108.13

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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.