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Finding the Fourth Proportional to 11,643.44, 17,446.93 and 4,619.66

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Solution

The fourth proportional to 11,643.44, 17,446.93 and 4,619.66 is: 6,922.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.44 : 17,446.93 = 4,619.66 : x
  2. Step 2: Convert to fraction form
    11,643.44/17,446.93 = 4,619.66/x
  3. Step 3: Cross multiply
    11,643.44x = 17,446.93 × 4,619.66
  4. Step 4: Simplify right side
    11,643.44x = 80,598,785.86
  5. Step 5: Solve for x
    x = 80,598,785.86/11,643.44
  6. Step 6: Final answer
    x = 6,922.25

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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.