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Finding the Fourth Proportional to 10,267.68, 14,163.76 and 6,075.12

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Solution

The fourth proportional to 10,267.68, 14,163.76 and 6,075.12 is: 8,380.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267.68 : 14,163.76 = 6,075.12 : x
  2. Step 2: Convert to fraction form
    10,267.68/14,163.76 = 6,075.12/x
  3. Step 3: Cross multiply
    10,267.68x = 14,163.76 × 6,075.12
  4. Step 4: Simplify right side
    10,267.68x = 86,046,541.65
  5. Step 5: Solve for x
    x = 86,046,541.65/10,267.68
  6. Step 6: Final answer
    x = 8,380.33

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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.