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Finding the Fourth Proportional to 7,266.33, 10,906.79 and 5,075.69

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Solution

The fourth proportional to 7,266.33, 10,906.79 and 5,075.69 is: 7,618.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,266.33 : 10,906.79 = 5,075.69 : x
  2. Step 2: Convert to fraction form
    7,266.33/10,906.79 = 5,075.69/x
  3. Step 3: Cross multiply
    7,266.33x = 10,906.79 × 5,075.69
  4. Step 4: Simplify right side
    7,266.33x = 55,359,405.02
  5. Step 5: Solve for x
    x = 55,359,405.02/7,266.33
  6. Step 6: Final answer
    x = 7,618.62

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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.