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Finding the Fourth Proportional to 11,963.04, 17,945.48 and 3,643.77

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Solution

The fourth proportional to 11,963.04, 17,945.48 and 3,643.77 is: 5,465.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.04 : 17,945.48 = 3,643.77 : x
  2. Step 2: Convert to fraction form
    11,963.04/17,945.48 = 3,643.77/x
  3. Step 3: Cross multiply
    11,963.04x = 17,945.48 × 3,643.77
  4. Step 4: Simplify right side
    11,963.04x = 65,389,201.66
  5. Step 5: Solve for x
    x = 65,389,201.66/11,963.04
  6. Step 6: Final answer
    x = 5,465.94

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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.