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Finding the Fourth Proportional to 11,782.46, 17,670.96 and 5,205.06

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Solution

The fourth proportional to 11,782.46, 17,670.96 and 5,205.06 is: 7,806.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.46 : 17,670.96 = 5,205.06 : x
  2. Step 2: Convert to fraction form
    11,782.46/17,670.96 = 5,205.06/x
  3. Step 3: Cross multiply
    11,782.46x = 17,670.96 × 5,205.06
  4. Step 4: Simplify right side
    11,782.46x = 91,978,407.06
  5. Step 5: Solve for x
    x = 91,978,407.06/11,782.46
  6. Step 6: Final answer
    x = 7,806.38

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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.