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Finding the Fourth Proportional to 10,855.84, 16,284.94 and 3,458.56

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Solution

The fourth proportional to 10,855.84, 16,284.94 and 3,458.56 is: 5,188.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,855.84 : 16,284.94 = 3,458.56 : x
  2. Step 2: Convert to fraction form
    10,855.84/16,284.94 = 3,458.56/x
  3. Step 3: Cross multiply
    10,855.84x = 16,284.94 × 3,458.56
  4. Step 4: Simplify right side
    10,855.84x = 56,322,442.09
  5. Step 5: Solve for x
    x = 56,322,442.09/10,855.84
  6. Step 6: Final answer
    x = 5,188.22

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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.