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Finding the Fourth Proportional to 7,745.32, 11,610 and 3,063.43

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Solution

The fourth proportional to 7,745.32, 11,610 and 3,063.43 is: 4,591.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.32 : 11,610 = 3,063.43 : x
  2. Step 2: Convert to fraction form
    7,745.32/11,610 = 3,063.43/x
  3. Step 3: Cross multiply
    7,745.32x = 11,610 × 3,063.43
  4. Step 4: Simplify right side
    7,745.32x = 35,566,422.30
  5. Step 5: Solve for x
    x = 35,566,422.30/7,745.32
  6. Step 6: Final answer
    x = 4,591.99

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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.