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Finding the Fourth Proportional to 6,796.04, 9,378.59 and 3,811.93

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Solution

The fourth proportional to 6,796.04, 9,378.59 and 3,811.93 is: 5,260.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,796.04 : 9,378.59 = 3,811.93 : x
  2. Step 2: Convert to fraction form
    6,796.04/9,378.59 = 3,811.93/x
  3. Step 3: Cross multiply
    6,796.04x = 9,378.59 × 3,811.93
  4. Step 4: Simplify right side
    6,796.04x = 35,750,486.07
  5. Step 5: Solve for x
    x = 35,750,486.07/6,796.04
  6. Step 6: Final answer
    x = 5,260.49

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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.