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Finding the Fourth Proportional to 11,534.67, 17,302.02 and 3,214.90

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Solution

The fourth proportional to 11,534.67, 17,302.02 and 3,214.90 is: 4,822.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,534.67 : 17,302.02 = 3,214.90 : x
  2. Step 2: Convert to fraction form
    11,534.67/17,302.02 = 3,214.90/x
  3. Step 3: Cross multiply
    11,534.67x = 17,302.02 × 3,214.90
  4. Step 4: Simplify right side
    11,534.67x = 55,624,273.67
  5. Step 5: Solve for x
    x = 55,624,273.67/11,534.67
  6. Step 6: Final answer
    x = 4,822.36

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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.