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Finding the Fourth Proportional to 6,820.26, 10,232.01 and 4,047.90

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Solution

The fourth proportional to 6,820.26, 10,232.01 and 4,047.90 is: 6,072.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.26 : 10,232.01 = 4,047.90 : x
  2. Step 2: Convert to fraction form
    6,820.26/10,232.01 = 4,047.90/x
  3. Step 3: Cross multiply
    6,820.26x = 10,232.01 × 4,047.90
  4. Step 4: Simplify right side
    6,820.26x = 41,418,153.28
  5. Step 5: Solve for x
    x = 41,418,153.28/6,820.26
  6. Step 6: Final answer
    x = 6,072.81

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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.