Home / 7,824.28-11,736.42-1,980.88

Finding the Fourth Proportional to 7,824.28, 11,736.42 and 1,980.88

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Solution

The fourth proportional to 7,824.28, 11,736.42 and 1,980.88 is: 2,971.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.28 : 11,736.42 = 1,980.88 : x
  2. Step 2: Convert to fraction form
    7,824.28/11,736.42 = 1,980.88/x
  3. Step 3: Cross multiply
    7,824.28x = 11,736.42 × 1,980.88
  4. Step 4: Simplify right side
    7,824.28x = 23,248,439.65
  5. Step 5: Solve for x
    x = 23,248,439.65/7,824.28
  6. Step 6: Final answer
    x = 2,971.32

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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.