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Finding the Fourth Proportional to 7,672.37, 11,506.41 and 3,288.78

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Solution

The fourth proportional to 7,672.37, 11,506.41 and 3,288.78 is: 4,932.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.37 : 11,506.41 = 3,288.78 : x
  2. Step 2: Convert to fraction form
    7,672.37/11,506.41 = 3,288.78/x
  3. Step 3: Cross multiply
    7,672.37x = 11,506.41 × 3,288.78
  4. Step 4: Simplify right side
    7,672.37x = 37,842,051.08
  5. Step 5: Solve for x
    x = 37,842,051.08/7,672.37
  6. Step 6: Final answer
    x = 4,932.25

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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.