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Finding the Fourth Proportional to 7,715.84, 11,571.66 and 2,168.84

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Solution

The fourth proportional to 7,715.84, 11,571.66 and 2,168.84 is: 3,252.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.84 : 11,571.66 = 2,168.84 : x
  2. Step 2: Convert to fraction form
    7,715.84/11,571.66 = 2,168.84/x
  3. Step 3: Cross multiply
    7,715.84x = 11,571.66 × 2,168.84
  4. Step 4: Simplify right side
    7,715.84x = 25,097,079.07
  5. Step 5: Solve for x
    x = 25,097,079.07/7,715.84
  6. Step 6: Final answer
    x = 3,252.67

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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.