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Finding the Fourth Proportional to 11,588.36, 17,383.88 and 4,196.30

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Solution

The fourth proportional to 11,588.36, 17,383.88 and 4,196.30 is: 6,294.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.36 : 17,383.88 = 4,196.30 : x
  2. Step 2: Convert to fraction form
    11,588.36/17,383.88 = 4,196.30/x
  3. Step 3: Cross multiply
    11,588.36x = 17,383.88 × 4,196.30
  4. Step 4: Simplify right side
    11,588.36x = 72,947,899.22
  5. Step 5: Solve for x
    x = 72,947,899.22/11,588.36
  6. Step 6: Final answer
    x = 6,294.93

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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.