Home / 7,824.75-11,741.46-3,442.10

Finding the Fourth Proportional to 7,824.75, 11,741.46 and 3,442.10

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Solution

The fourth proportional to 7,824.75, 11,741.46 and 3,442.10 is: 5,165.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.75 : 11,741.46 = 3,442.10 : x
  2. Step 2: Convert to fraction form
    7,824.75/11,741.46 = 3,442.10/x
  3. Step 3: Cross multiply
    7,824.75x = 11,741.46 × 3,442.10
  4. Step 4: Simplify right side
    7,824.75x = 40,415,207.85
  5. Step 5: Solve for x
    x = 40,415,207.85/7,824.75
  6. Step 6: Final answer
    x = 5,165.05

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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.