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Finding the Fourth Proportional to 7,205.50, 10,811.49 and 4,127.50

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Solution

The fourth proportional to 7,205.50, 10,811.49 and 4,127.50 is: 6,193.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.50 : 10,811.49 = 4,127.50 : x
  2. Step 2: Convert to fraction form
    7,205.50/10,811.49 = 4,127.50/x
  3. Step 3: Cross multiply
    7,205.50x = 10,811.49 × 4,127.50
  4. Step 4: Simplify right side
    7,205.50x = 44,624,424.98
  5. Step 5: Solve for x
    x = 44,624,424.98/7,205.50
  6. Step 6: Final answer
    x = 6,193.11

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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.