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Finding the Fourth Proportional to 11,232.81, 16,849.62 and 4,212.11

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Solution

The fourth proportional to 11,232.81, 16,849.62 and 4,212.11 is: 6,318.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,232.81 : 16,849.62 = 4,212.11 : x
  2. Step 2: Convert to fraction form
    11,232.81/16,849.62 = 4,212.11/x
  3. Step 3: Cross multiply
    11,232.81x = 16,849.62 × 4,212.11
  4. Step 4: Simplify right side
    11,232.81x = 70,972,495.02
  5. Step 5: Solve for x
    x = 70,972,495.02/11,232.81
  6. Step 6: Final answer
    x = 6,318.32

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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.