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Finding the Fourth Proportional to 10,682.21, 14,738.19 and 6,205.11

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Solution

The fourth proportional to 10,682.21, 14,738.19 and 6,205.11 is: 8,561.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.21 : 14,738.19 = 6,205.11 : x
  2. Step 2: Convert to fraction form
    10,682.21/14,738.19 = 6,205.11/x
  3. Step 3: Cross multiply
    10,682.21x = 14,738.19 × 6,205.11
  4. Step 4: Simplify right side
    10,682.21x = 91,452,011.61
  5. Step 5: Solve for x
    x = 91,452,011.61/10,682.21
  6. Step 6: Final answer
    x = 8,561.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.