Home / 7,977.16-11,967.36-2,783.44

Finding the Fourth Proportional to 7,977.16, 11,967.36 and 2,783.44

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Solution

The fourth proportional to 7,977.16, 11,967.36 and 2,783.44 is: 4,175.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977.16 : 11,967.36 = 2,783.44 : x
  2. Step 2: Convert to fraction form
    7,977.16/11,967.36 = 2,783.44/x
  3. Step 3: Cross multiply
    7,977.16x = 11,967.36 × 2,783.44
  4. Step 4: Simplify right side
    7,977.16x = 33,310,428.52
  5. Step 5: Solve for x
    x = 33,310,428.52/7,977.16
  6. Step 6: Final answer
    x = 4,175.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.