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Finding the Fourth Proportional to 11,983.04, 16,548 and 11,328.56

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Solution

The fourth proportional to 11,983.04, 16,548 and 11,328.56 is: 15,644.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,983.04 : 16,548 = 11,328.56 : x
  2. Step 2: Convert to fraction form
    11,983.04/16,548 = 11,328.56/x
  3. Step 3: Cross multiply
    11,983.04x = 16,548 × 11,328.56
  4. Step 4: Simplify right side
    11,983.04x = 187,465,010.88
  5. Step 5: Solve for x
    x = 187,465,010.88/11,983.04
  6. Step 6: Final answer
    x = 15,644.19

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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.