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Finding the Fourth Proportional to 10,225.98, 15,338.34 and 3,651.84

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Solution

The fourth proportional to 10,225.98, 15,338.34 and 3,651.84 is: 5,477.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225.98 : 15,338.34 = 3,651.84 : x
  2. Step 2: Convert to fraction form
    10,225.98/15,338.34 = 3,651.84/x
  3. Step 3: Cross multiply
    10,225.98x = 15,338.34 × 3,651.84
  4. Step 4: Simplify right side
    10,225.98x = 56,013,163.55
  5. Step 5: Solve for x
    x = 56,013,163.55/10,225.98
  6. Step 6: Final answer
    x = 5,477.54

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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.