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Finding the Fourth Proportional to 7,620.75, 11,431.89 and 2,074.52

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Solution

The fourth proportional to 7,620.75, 11,431.89 and 2,074.52 is: 3,111.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,620.75 : 11,431.89 = 2,074.52 : x
  2. Step 2: Convert to fraction form
    7,620.75/11,431.89 = 2,074.52/x
  3. Step 3: Cross multiply
    7,620.75x = 11,431.89 × 2,074.52
  4. Step 4: Simplify right side
    7,620.75x = 23,715,674.07
  5. Step 5: Solve for x
    x = 23,715,674.07/7,620.75
  6. Step 6: Final answer
    x = 3,111.99

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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.