Home / 7,830.26-10,805.97-4,474.16

Finding the Fourth Proportional to 7,830.26, 10,805.97 and 4,474.16

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Solution

The fourth proportional to 7,830.26, 10,805.97 and 4,474.16 is: 6,174.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.26 : 10,805.97 = 4,474.16 : x
  2. Step 2: Convert to fraction form
    7,830.26/10,805.97 = 4,474.16/x
  3. Step 3: Cross multiply
    7,830.26x = 10,805.97 × 4,474.16
  4. Step 4: Simplify right side
    7,830.26x = 48,347,562.33
  5. Step 5: Solve for x
    x = 48,347,562.33/7,830.26
  6. Step 6: Final answer
    x = 6,174.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.