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Finding the Fourth Proportional to 11,693.16, 17,540.66 and 3,901.98

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Solution

The fourth proportional to 11,693.16, 17,540.66 and 3,901.98 is: 5,853.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.16 : 17,540.66 = 3,901.98 : x
  2. Step 2: Convert to fraction form
    11,693.16/17,540.66 = 3,901.98/x
  3. Step 3: Cross multiply
    11,693.16x = 17,540.66 × 3,901.98
  4. Step 4: Simplify right side
    11,693.16x = 68,443,285.00
  5. Step 5: Solve for x
    x = 68,443,285.00/11,693.16
  6. Step 6: Final answer
    x = 5,853.28

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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.