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Finding the Fourth Proportional to 11,823.36, 17,735 and 3,503.44

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Solution

The fourth proportional to 11,823.36, 17,735 and 3,503.44 is: 5,255.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823.36 : 17,735 = 3,503.44 : x
  2. Step 2: Convert to fraction form
    11,823.36/17,735 = 3,503.44/x
  3. Step 3: Cross multiply
    11,823.36x = 17,735 × 3,503.44
  4. Step 4: Simplify right side
    11,823.36x = 62,133,508.40
  5. Step 5: Solve for x
    x = 62,133,508.40/11,823.36
  6. Step 6: Final answer
    x = 5,255.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.