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Finding the Fourth Proportional to 8,213.63, 11,322.93 and 5,851.67

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Solution

The fourth proportional to 8,213.63, 11,322.93 and 5,851.67 is: 8,066.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.63 : 11,322.93 = 5,851.67 : x
  2. Step 2: Convert to fraction form
    8,213.63/11,322.93 = 5,851.67/x
  3. Step 3: Cross multiply
    8,213.63x = 11,322.93 × 5,851.67
  4. Step 4: Simplify right side
    8,213.63x = 66,257,993.18
  5. Step 5: Solve for x
    x = 66,257,993.18/8,213.63
  6. Step 6: Final answer
    x = 8,066.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.