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Finding the Fourth Proportional to 11,710.37, 17,563.37 and 4,212.81

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Solution

The fourth proportional to 11,710.37, 17,563.37 and 4,212.81 is: 6,318.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.37 : 17,563.37 = 4,212.81 : x
  2. Step 2: Convert to fraction form
    11,710.37/17,563.37 = 4,212.81/x
  3. Step 3: Cross multiply
    11,710.37x = 17,563.37 × 4,212.81
  4. Step 4: Simplify right side
    11,710.37x = 73,991,119.71
  5. Step 5: Solve for x
    x = 73,991,119.71/11,710.37
  6. Step 6: Final answer
    x = 6,318.43

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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.