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Finding the Fourth Proportional to 11,630.84, 17,446.26 and 3,311.72

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Solution

The fourth proportional to 11,630.84, 17,446.26 and 3,311.72 is: 4,967.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,630.84 : 17,446.26 = 3,311.72 : x
  2. Step 2: Convert to fraction form
    11,630.84/17,446.26 = 3,311.72/x
  3. Step 3: Cross multiply
    11,630.84x = 17,446.26 × 3,311.72
  4. Step 4: Simplify right side
    11,630.84x = 57,777,128.17
  5. Step 5: Solve for x
    x = 57,777,128.17/11,630.84
  6. Step 6: Final answer
    x = 4,967.58

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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.