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Finding the Fourth Proportional to 11,446.80, 17,160.27 and 5,116.86

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Solution

The fourth proportional to 11,446.80, 17,160.27 and 5,116.86 is: 7,670.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.80 : 17,160.27 = 5,116.86 : x
  2. Step 2: Convert to fraction form
    11,446.80/17,160.27 = 5,116.86/x
  3. Step 3: Cross multiply
    11,446.80x = 17,160.27 × 5,116.86
  4. Step 4: Simplify right side
    11,446.80x = 87,806,699.15
  5. Step 5: Solve for x
    x = 87,806,699.15/11,446.80
  6. Step 6: Final answer
    x = 7,670.85

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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.