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Finding the Fourth Proportional to 10,124.83, 13,940.49 and 8,609.41

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Solution

The fourth proportional to 10,124.83, 13,940.49 and 8,609.41 is: 11,853.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,124.83 : 13,940.49 = 8,609.41 : x
  2. Step 2: Convert to fraction form
    10,124.83/13,940.49 = 8,609.41/x
  3. Step 3: Cross multiply
    10,124.83x = 13,940.49 × 8,609.41
  4. Step 4: Simplify right side
    10,124.83x = 120,019,394.01
  5. Step 5: Solve for x
    x = 120,019,394.01/10,124.83
  6. Step 6: Final answer
    x = 11,853.97

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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.