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Finding the Fourth Proportional to 6,682.61, 10,025.21 and 2,002.52

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Solution

The fourth proportional to 6,682.61, 10,025.21 and 2,002.52 is: 3,004.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682.61 : 10,025.21 = 2,002.52 : x
  2. Step 2: Convert to fraction form
    6,682.61/10,025.21 = 2,002.52/x
  3. Step 3: Cross multiply
    6,682.61x = 10,025.21 × 2,002.52
  4. Step 4: Simplify right side
    6,682.61x = 20,075,713.60
  5. Step 5: Solve for x
    x = 20,075,713.60/6,682.61
  6. Step 6: Final answer
    x = 3,004.17

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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.