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Finding the Fourth Proportional to 6,196.71, 8,563.75 and 5,075.87

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Solution

The fourth proportional to 6,196.71, 8,563.75 and 5,075.87 is: 7,014.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.71 : 8,563.75 = 5,075.87 : x
  2. Step 2: Convert to fraction form
    6,196.71/8,563.75 = 5,075.87/x
  3. Step 3: Cross multiply
    6,196.71x = 8,563.75 × 5,075.87
  4. Step 4: Simplify right side
    6,196.71x = 43,468,481.71
  5. Step 5: Solve for x
    x = 43,468,481.71/6,196.71
  6. Step 6: Final answer
    x = 7,014.77

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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.