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Finding the Fourth Proportional to 12,107.94, 16,704.78 and 7,567.52

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Solution

The fourth proportional to 12,107.94, 16,704.78 and 7,567.52 is: 10,440.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.94 : 16,704.78 = 7,567.52 : x
  2. Step 2: Convert to fraction form
    12,107.94/16,704.78 = 7,567.52/x
  3. Step 3: Cross multiply
    12,107.94x = 16,704.78 × 7,567.52
  4. Step 4: Simplify right side
    12,107.94x = 126,413,756.75
  5. Step 5: Solve for x
    x = 126,413,756.75/12,107.94
  6. Step 6: Final answer
    x = 10,440.57

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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.