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Finding the Fourth Proportional to 6,905.80, 10,360.22 and 2,523.24

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Solution

The fourth proportional to 6,905.80, 10,360.22 and 2,523.24 is: 3,785.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.80 : 10,360.22 = 2,523.24 : x
  2. Step 2: Convert to fraction form
    6,905.80/10,360.22 = 2,523.24/x
  3. Step 3: Cross multiply
    6,905.80x = 10,360.22 × 2,523.24
  4. Step 4: Simplify right side
    6,905.80x = 26,141,321.51
  5. Step 5: Solve for x
    x = 26,141,321.51/6,905.80
  6. Step 6: Final answer
    x = 3,785.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.