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Finding the Fourth Proportional to 7,415.50, 10,233.39 and 4,103.50

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Solution

The fourth proportional to 7,415.50, 10,233.39 and 4,103.50 is: 5,662.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,415.50 : 10,233.39 = 4,103.50 : x
  2. Step 2: Convert to fraction form
    7,415.50/10,233.39 = 4,103.50/x
  3. Step 3: Cross multiply
    7,415.50x = 10,233.39 × 4,103.50
  4. Step 4: Simplify right side
    7,415.50x = 41,992,715.87
  5. Step 5: Solve for x
    x = 41,992,715.87/7,415.50
  6. Step 6: Final answer
    x = 5,662.83

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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.