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Finding the Fourth Proportional to 26,717, 40,075.50 and 7,261

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Solution

The fourth proportional to 26,717, 40,075.50 and 7,261 is: 10,891.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,717 : 40,075.50 = 7,261 : x
  2. Step 2: Convert to fraction form
    26,717/40,075.50 = 7,261/x
  3. Step 3: Cross multiply
    26,717x = 40,075.50 × 7,261
  4. Step 4: Simplify right side
    26,717x = 290,988,205.50
  5. Step 5: Solve for x
    x = 290,988,205.50/26,717
  6. Step 6: Final answer
    x = 10,891.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.