Home / 7,825.32-11,736.36-2,277.96

Finding the Fourth Proportional to 7,825.32, 11,736.36 and 2,277.96

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Solution

The fourth proportional to 7,825.32, 11,736.36 and 2,277.96 is: 3,416.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.32 : 11,736.36 = 2,277.96 : x
  2. Step 2: Convert to fraction form
    7,825.32/11,736.36 = 2,277.96/x
  3. Step 3: Cross multiply
    7,825.32x = 11,736.36 × 2,277.96
  4. Step 4: Simplify right side
    7,825.32x = 26,734,958.63
  5. Step 5: Solve for x
    x = 26,734,958.63/7,825.32
  6. Step 6: Final answer
    x = 3,416.47

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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.