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Finding the Fourth Proportional to 6,825.01, 10,238.27 and 2,145.18

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Solution

The fourth proportional to 6,825.01, 10,238.27 and 2,145.18 is: 3,218.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.01 : 10,238.27 = 2,145.18 : x
  2. Step 2: Convert to fraction form
    6,825.01/10,238.27 = 2,145.18/x
  3. Step 3: Cross multiply
    6,825.01x = 10,238.27 × 2,145.18
  4. Step 4: Simplify right side
    6,825.01x = 21,962,959.71
  5. Step 5: Solve for x
    x = 21,962,959.71/6,825.01
  6. Step 6: Final answer
    x = 3,218.01

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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.