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Finding the Fourth Proportional to 6,141.94, 8,461.11 and 5,075.26

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Solution

The fourth proportional to 6,141.94, 8,461.11 and 5,075.26 is: 6,991.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.94 : 8,461.11 = 5,075.26 : x
  2. Step 2: Convert to fraction form
    6,141.94/8,461.11 = 5,075.26/x
  3. Step 3: Cross multiply
    6,141.94x = 8,461.11 × 5,075.26
  4. Step 4: Simplify right side
    6,141.94x = 42,942,333.14
  5. Step 5: Solve for x
    x = 42,942,333.14/6,141.94
  6. Step 6: Final answer
    x = 6,991.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.