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Finding the Fourth Proportional to 11,984.90, 17,968.84 and 4,583.12

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Solution

The fourth proportional to 11,984.90, 17,968.84 and 4,583.12 is: 6,871.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,984.90 : 17,968.84 = 4,583.12 : x
  2. Step 2: Convert to fraction form
    11,984.90/17,968.84 = 4,583.12/x
  3. Step 3: Cross multiply
    11,984.90x = 17,968.84 × 4,583.12
  4. Step 4: Simplify right side
    11,984.90x = 82,353,383.45
  5. Step 5: Solve for x
    x = 82,353,383.45/11,984.90
  6. Step 6: Final answer
    x = 6,871.43

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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.