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Finding the Fourth Proportional to 11,827.37, 16,323.03 and 8,838.06

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Solution

The fourth proportional to 11,827.37, 16,323.03 and 8,838.06 is: 12,197.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.37 : 16,323.03 = 8,838.06 : x
  2. Step 2: Convert to fraction form
    11,827.37/16,323.03 = 8,838.06/x
  3. Step 3: Cross multiply
    11,827.37x = 16,323.03 × 8,838.06
  4. Step 4: Simplify right side
    11,827.37x = 144,263,918.52
  5. Step 5: Solve for x
    x = 144,263,918.52/11,827.37
  6. Step 6: Final answer
    x = 12,197.47

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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.