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Finding the Fourth Proportional to 7,622.58, 11,433.65 and 2,075.97

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Solution

The fourth proportional to 7,622.58, 11,433.65 and 2,075.97 is: 3,113.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,622.58 : 11,433.65 = 2,075.97 : x
  2. Step 2: Convert to fraction form
    7,622.58/11,433.65 = 2,075.97/x
  3. Step 3: Cross multiply
    7,622.58x = 11,433.65 × 2,075.97
  4. Step 4: Simplify right side
    7,622.58x = 23,735,945.57
  5. Step 5: Solve for x
    x = 23,735,945.57/7,622.58
  6. Step 6: Final answer
    x = 3,113.90

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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.