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Finding the Fourth Proportional to 11,093.64, 16,643.19 and 3,302.46

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Solution

The fourth proportional to 11,093.64, 16,643.19 and 3,302.46 is: 4,954.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,093.64 : 16,643.19 = 3,302.46 : x
  2. Step 2: Convert to fraction form
    11,093.64/16,643.19 = 3,302.46/x
  3. Step 3: Cross multiply
    11,093.64x = 16,643.19 × 3,302.46
  4. Step 4: Simplify right side
    11,093.64x = 54,963,469.25
  5. Step 5: Solve for x
    x = 54,963,469.25/11,093.64
  6. Step 6: Final answer
    x = 4,954.50

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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.