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Finding the Fourth Proportional to 12,083.52, 18,146.88 and 7,932

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Solution

The fourth proportional to 12,083.52, 18,146.88 and 7,932 is: 11,912.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.52 : 18,146.88 = 7,932 : x
  2. Step 2: Convert to fraction form
    12,083.52/18,146.88 = 7,932/x
  3. Step 3: Cross multiply
    12,083.52x = 18,146.88 × 7,932
  4. Step 4: Simplify right side
    12,083.52x = 143,941,052.16
  5. Step 5: Solve for x
    x = 143,941,052.16/12,083.52
  6. Step 6: Final answer
    x = 11,912.18

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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.