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Finding the Fourth Proportional to 11,832.44, 16,328.50 and 6,527.25

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Solution

The fourth proportional to 11,832.44, 16,328.50 and 6,527.25 is: 9,007.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.44 : 16,328.50 = 6,527.25 : x
  2. Step 2: Convert to fraction form
    11,832.44/16,328.50 = 6,527.25/x
  3. Step 3: Cross multiply
    11,832.44x = 16,328.50 × 6,527.25
  4. Step 4: Simplify right side
    11,832.44x = 106,580,185.31
  5. Step 5: Solve for x
    x = 106,580,185.31/11,832.44
  6. Step 6: Final answer
    x = 9,007.46

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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.