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Finding the Fourth Proportional to 10,855.11, 16,282.49 and 3,459.50

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Solution

The fourth proportional to 10,855.11, 16,282.49 and 3,459.50 is: 5,189.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,855.11 : 16,282.49 = 3,459.50 : x
  2. Step 2: Convert to fraction form
    10,855.11/16,282.49 = 3,459.50/x
  3. Step 3: Cross multiply
    10,855.11x = 16,282.49 × 3,459.50
  4. Step 4: Simplify right side
    10,855.11x = 56,329,175.45
  5. Step 5: Solve for x
    x = 56,329,175.45/10,855.11
  6. Step 6: Final answer
    x = 5,189.19

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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.