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Finding the Fourth Proportional to 11,834.63, 16,336.98 and 7,859.15

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Solution

The fourth proportional to 11,834.63, 16,336.98 and 7,859.15 is: 10,849.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,834.63 : 16,336.98 = 7,859.15 : x
  2. Step 2: Convert to fraction form
    11,834.63/16,336.98 = 7,859.15/x
  3. Step 3: Cross multiply
    11,834.63x = 16,336.98 × 7,859.15
  4. Step 4: Simplify right side
    11,834.63x = 128,394,776.37
  5. Step 5: Solve for x
    x = 128,394,776.37/11,834.63
  6. Step 6: Final answer
    x = 10,849.07

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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.