Home / 7,824.96-11,738.16-2,278.08

Finding the Fourth Proportional to 7,824.96, 11,738.16 and 2,278.08

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Solution

The fourth proportional to 7,824.96, 11,738.16 and 2,278.08 is: 3,417.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.96 : 11,738.16 = 2,278.08 : x
  2. Step 2: Convert to fraction form
    7,824.96/11,738.16 = 2,278.08/x
  3. Step 3: Cross multiply
    7,824.96x = 11,738.16 × 2,278.08
  4. Step 4: Simplify right side
    7,824.96x = 26,740,467.53
  5. Step 5: Solve for x
    x = 26,740,467.53/7,824.96
  6. Step 6: Final answer
    x = 3,417.33

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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.