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Finding the Fourth Proportional to 7,745.18, 11,617.77 and 7,350.75

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Solution

The fourth proportional to 7,745.18, 11,617.77 and 7,350.75 is: 11,026.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.18 : 11,617.77 = 7,350.75 : x
  2. Step 2: Convert to fraction form
    7,745.18/11,617.77 = 7,350.75/x
  3. Step 3: Cross multiply
    7,745.18x = 11,617.77 × 7,350.75
  4. Step 4: Simplify right side
    7,745.18x = 85,399,322.83
  5. Step 5: Solve for x
    x = 85,399,322.83/7,745.18
  6. Step 6: Final answer
    x = 11,026.13

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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.