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Finding the Fourth Proportional to 7,745.82, 11,618.86 and 4,055.26

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Solution

The fourth proportional to 7,745.82, 11,618.86 and 4,055.26 is: 6,082.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.82 : 11,618.86 = 4,055.26 : x
  2. Step 2: Convert to fraction form
    7,745.82/11,618.86 = 4,055.26/x
  3. Step 3: Cross multiply
    7,745.82x = 11,618.86 × 4,055.26
  4. Step 4: Simplify right side
    7,745.82x = 47,117,538.39
  5. Step 5: Solve for x
    x = 47,117,538.39/7,745.82
  6. Step 6: Final answer
    x = 6,082.96

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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.