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Finding the Fourth Proportional to 7,745.14, 11,617.53 and 3,365.74

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Solution

The fourth proportional to 7,745.14, 11,617.53 and 3,365.74 is: 5,048.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.14 : 11,617.53 = 3,365.74 : x
  2. Step 2: Convert to fraction form
    7,745.14/11,617.53 = 3,365.74/x
  3. Step 3: Cross multiply
    7,745.14x = 11,617.53 × 3,365.74
  4. Step 4: Simplify right side
    7,745.14x = 39,101,585.42
  5. Step 5: Solve for x
    x = 39,101,585.42/7,745.14
  6. Step 6: Final answer
    x = 5,048.53

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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.