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Finding the Fourth Proportional to 6,736.77, 10,075.59 and 4,096.98

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Solution

The fourth proportional to 6,736.77, 10,075.59 and 4,096.98 is: 6,127.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736.77 : 10,075.59 = 4,096.98 : x
  2. Step 2: Convert to fraction form
    6,736.77/10,075.59 = 4,096.98/x
  3. Step 3: Cross multiply
    6,736.77x = 10,075.59 × 4,096.98
  4. Step 4: Simplify right side
    6,736.77x = 41,279,490.72
  5. Step 5: Solve for x
    x = 41,279,490.72/6,736.77
  6. Step 6: Final answer
    x = 6,127.49

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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.