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Finding the Fourth Proportional to 11,616.80, 17,433.30 and 7,466.90

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Solution

The fourth proportional to 11,616.80, 17,433.30 and 7,466.90 is: 11,205.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.80 : 17,433.30 = 7,466.90 : x
  2. Step 2: Convert to fraction form
    11,616.80/17,433.30 = 7,466.90/x
  3. Step 3: Cross multiply
    11,616.80x = 17,433.30 × 7,466.90
  4. Step 4: Simplify right side
    11,616.80x = 130,172,707.77
  5. Step 5: Solve for x
    x = 130,172,707.77/11,616.80
  6. Step 6: Final answer
    x = 11,205.56

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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.