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Finding the Fourth Proportional to 6,872.84, 10,326.14 and 4,408.68

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Solution

The fourth proportional to 6,872.84, 10,326.14 and 4,408.68 is: 6,623.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.84 : 10,326.14 = 4,408.68 : x
  2. Step 2: Convert to fraction form
    6,872.84/10,326.14 = 4,408.68/x
  3. Step 3: Cross multiply
    6,872.84x = 10,326.14 × 4,408.68
  4. Step 4: Simplify right side
    6,872.84x = 45,524,646.90
  5. Step 5: Solve for x
    x = 45,524,646.90/6,872.84
  6. Step 6: Final answer
    x = 6,623.85

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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.