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Finding the Fourth Proportional to 11,772.16, 17,660.64 and 3,980.88

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Solution

The fourth proportional to 11,772.16, 17,660.64 and 3,980.88 is: 5,972.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.16 : 17,660.64 = 3,980.88 : x
  2. Step 2: Convert to fraction form
    11,772.16/17,660.64 = 3,980.88/x
  3. Step 3: Cross multiply
    11,772.16x = 17,660.64 × 3,980.88
  4. Step 4: Simplify right side
    11,772.16x = 70,304,888.56
  5. Step 5: Solve for x
    x = 70,304,888.56/11,772.16
  6. Step 6: Final answer
    x = 5,972.13

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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.