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Finding the Fourth Proportional to 11,906.69, 16,427.96 and 7,124.69

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Solution

The fourth proportional to 11,906.69, 16,427.96 and 7,124.69 is: 9,830.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.69 : 16,427.96 = 7,124.69 : x
  2. Step 2: Convert to fraction form
    11,906.69/16,427.96 = 7,124.69/x
  3. Step 3: Cross multiply
    11,906.69x = 16,427.96 × 7,124.69
  4. Step 4: Simplify right side
    11,906.69x = 117,044,004.57
  5. Step 5: Solve for x
    x = 117,044,004.57/11,906.69
  6. Step 6: Final answer
    x = 9,830.11

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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.