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Finding the Fourth Proportional to 11,827.56, 16,308.54 and 8,838.36

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Solution

The fourth proportional to 11,827.56, 16,308.54 and 8,838.36 is: 12,186.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.56 : 16,308.54 = 8,838.36 : x
  2. Step 2: Convert to fraction form
    11,827.56/16,308.54 = 8,838.36/x
  3. Step 3: Cross multiply
    11,827.56x = 16,308.54 × 8,838.36
  4. Step 4: Simplify right side
    11,827.56x = 144,140,747.59
  5. Step 5: Solve for x
    x = 144,140,747.59/11,827.56
  6. Step 6: Final answer
    x = 12,186.85

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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.