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Finding the Fourth Proportional to 12,506.37, 18,768.75 and 5,932.56

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Solution

The fourth proportional to 12,506.37, 18,768.75 and 5,932.56 is: 8,903.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.37 : 18,768.75 = 5,932.56 : x
  2. Step 2: Convert to fraction form
    12,506.37/18,768.75 = 5,932.56/x
  3. Step 3: Cross multiply
    12,506.37x = 18,768.75 × 5,932.56
  4. Step 4: Simplify right side
    12,506.37x = 111,346,735.50
  5. Step 5: Solve for x
    x = 111,346,735.50/12,506.37
  6. Step 6: Final answer
    x = 8,903.20

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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.