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Finding the Fourth Proportional to 11,693.22, 17,540.19 and 5,116.02

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Solution

The fourth proportional to 11,693.22, 17,540.19 and 5,116.02 is: 7,674.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.22 : 17,540.19 = 5,116.02 : x
  2. Step 2: Convert to fraction form
    11,693.22/17,540.19 = 5,116.02/x
  3. Step 3: Cross multiply
    11,693.22x = 17,540.19 × 5,116.02
  4. Step 4: Simplify right side
    11,693.22x = 89,735,962.84
  5. Step 5: Solve for x
    x = 89,735,962.84/11,693.22
  6. Step 6: Final answer
    x = 7,674.19

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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.