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Finding the Fourth Proportional to 11,968.02, 17,952 and 5,709.06

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Solution

The fourth proportional to 11,968.02, 17,952 and 5,709.06 is: 8,563.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,968.02 : 17,952 = 5,709.06 : x
  2. Step 2: Convert to fraction form
    11,968.02/17,952 = 5,709.06/x
  3. Step 3: Cross multiply
    11,968.02x = 17,952 × 5,709.06
  4. Step 4: Simplify right side
    11,968.02x = 102,489,045.12
  5. Step 5: Solve for x
    x = 102,489,045.12/11,968.02
  6. Step 6: Final answer
    x = 8,563.58

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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.