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Finding the Fourth Proportional to 11,783.44, 17,675.16 and 5,538.87

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Solution

The fourth proportional to 11,783.44, 17,675.16 and 5,538.87 is: 8,308.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.44 : 17,675.16 = 5,538.87 : x
  2. Step 2: Convert to fraction form
    11,783.44/17,675.16 = 5,538.87/x
  3. Step 3: Cross multiply
    11,783.44x = 17,675.16 × 5,538.87
  4. Step 4: Simplify right side
    11,783.44x = 97,900,413.47
  5. Step 5: Solve for x
    x = 97,900,413.47/11,783.44
  6. Step 6: Final answer
    x = 8,308.31

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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.