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Finding the Fourth Proportional to 11,693.10, 17,538.24 and 3,260.22

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Solution

The fourth proportional to 11,693.10, 17,538.24 and 3,260.22 is: 4,889.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.10 : 17,538.24 = 3,260.22 : x
  2. Step 2: Convert to fraction form
    11,693.10/17,538.24 = 3,260.22/x
  3. Step 3: Cross multiply
    11,693.10x = 17,538.24 × 3,260.22
  4. Step 4: Simplify right side
    11,693.10x = 57,178,520.81
  5. Step 5: Solve for x
    x = 57,178,520.81/11,693.10
  6. Step 6: Final answer
    x = 4,889.94

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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.