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Finding the Fourth Proportional to 7,706.14, 11,559.28 and 2,441.05

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Solution

The fourth proportional to 7,706.14, 11,559.28 and 2,441.05 is: 3,661.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.14 : 11,559.28 = 2,441.05 : x
  2. Step 2: Convert to fraction form
    7,706.14/11,559.28 = 2,441.05/x
  3. Step 3: Cross multiply
    7,706.14x = 11,559.28 × 2,441.05
  4. Step 4: Simplify right side
    7,706.14x = 28,216,757.65
  5. Step 5: Solve for x
    x = 28,216,757.65/7,706.14
  6. Step 6: Final answer
    x = 3,661.60

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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.