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Finding the Fourth Proportional to 11,630.91, 17,446.95 and 3,311.52

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Solution

The fourth proportional to 11,630.91, 17,446.95 and 3,311.52 is: 4,967.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,630.91 : 17,446.95 = 3,311.52 : x
  2. Step 2: Convert to fraction form
    11,630.91/17,446.95 = 3,311.52/x
  3. Step 3: Cross multiply
    11,630.91x = 17,446.95 × 3,311.52
  4. Step 4: Simplify right side
    11,630.91x = 57,775,923.86
  5. Step 5: Solve for x
    x = 57,775,923.86/11,630.91
  6. Step 6: Final answer
    x = 4,967.45

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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.