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Finding the Fourth Proportional to 12,103.07, 16,709.97 and 8,075.65

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Solution

The fourth proportional to 12,103.07, 16,709.97 and 8,075.65 is: 11,149.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,103.07 : 16,709.97 = 8,075.65 : x
  2. Step 2: Convert to fraction form
    12,103.07/16,709.97 = 8,075.65/x
  3. Step 3: Cross multiply
    12,103.07x = 16,709.97 × 8,075.65
  4. Step 4: Simplify right side
    12,103.07x = 134,943,866.36
  5. Step 5: Solve for x
    x = 134,943,866.36/12,103.07
  6. Step 6: Final answer
    x = 11,149.56

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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.