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Finding the Fourth Proportional to 11,693.42, 17,538.24 and 4,296.05

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Solution

The fourth proportional to 11,693.42, 17,538.24 and 4,296.05 is: 6,443.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.42 : 17,538.24 = 4,296.05 : x
  2. Step 2: Convert to fraction form
    11,693.42/17,538.24 = 4,296.05/x
  3. Step 3: Cross multiply
    11,693.42x = 17,538.24 × 4,296.05
  4. Step 4: Simplify right side
    11,693.42x = 75,345,155.95
  5. Step 5: Solve for x
    x = 75,345,155.95/11,693.42
  6. Step 6: Final answer
    x = 6,443.38

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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.