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Finding the Fourth Proportional to 7,716.06, 11,571.12 and 2,783.16

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Solution

The fourth proportional to 7,716.06, 11,571.12 and 2,783.16 is: 4,173.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.06 : 11,571.12 = 2,783.16 : x
  2. Step 2: Convert to fraction form
    7,716.06/11,571.12 = 2,783.16/x
  3. Step 3: Cross multiply
    7,716.06x = 11,571.12 × 2,783.16
  4. Step 4: Simplify right side
    7,716.06x = 32,204,278.34
  5. Step 5: Solve for x
    x = 32,204,278.34/7,716.06
  6. Step 6: Final answer
    x = 4,173.67

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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.