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Finding the Fourth Proportional to 8,713, 13,075.26 and 4,096.36

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Solution

The fourth proportional to 8,713, 13,075.26 and 4,096.36 is: 6,147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713 : 13,075.26 = 4,096.36 : x
  2. Step 2: Convert to fraction form
    8,713/13,075.26 = 4,096.36/x
  3. Step 3: Cross multiply
    8,713x = 13,075.26 × 4,096.36
  4. Step 4: Simplify right side
    8,713x = 53,560,972.05
  5. Step 5: Solve for x
    x = 53,560,972.05/8,713
  6. Step 6: Final answer
    x = 6,147.25

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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.