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Finding the Fourth Proportional to 7,315.65, 10,969.74 and 2,382.12

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Solution

The fourth proportional to 7,315.65, 10,969.74 and 2,382.12 is: 3,571.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,315.65 : 10,969.74 = 2,382.12 : x
  2. Step 2: Convert to fraction form
    7,315.65/10,969.74 = 2,382.12/x
  3. Step 3: Cross multiply
    7,315.65x = 10,969.74 × 2,382.12
  4. Step 4: Simplify right side
    7,315.65x = 26,131,237.05
  5. Step 5: Solve for x
    x = 26,131,237.05/7,315.65
  6. Step 6: Final answer
    x = 3,571.96

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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.