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Finding the Fourth Proportional to 11,033.12, 15,225.85 and 5,997.42

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Solution

The fourth proportional to 11,033.12, 15,225.85 and 5,997.42 is: 8,276.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,033.12 : 15,225.85 = 5,997.42 : x
  2. Step 2: Convert to fraction form
    11,033.12/15,225.85 = 5,997.42/x
  3. Step 3: Cross multiply
    11,033.12x = 15,225.85 × 5,997.42
  4. Step 4: Simplify right side
    11,033.12x = 91,315,741.18
  5. Step 5: Solve for x
    x = 91,315,741.18/11,033.12
  6. Step 6: Final answer
    x = 8,276.51

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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.