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Finding the Fourth Proportional to 12,078.28, 16,672.12 and 7,609.50

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Solution

The fourth proportional to 12,078.28, 16,672.12 and 7,609.50 is: 10,503.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078.28 : 16,672.12 = 7,609.50 : x
  2. Step 2: Convert to fraction form
    12,078.28/16,672.12 = 7,609.50/x
  3. Step 3: Cross multiply
    12,078.28x = 16,672.12 × 7,609.50
  4. Step 4: Simplify right side
    12,078.28x = 126,866,497.14
  5. Step 5: Solve for x
    x = 126,866,497.14/12,078.28
  6. Step 6: Final answer
    x = 10,503.69

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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.