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Finding the Fourth Proportional to 11,809.86, 17,696.94 and 7,124.66

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Solution

The fourth proportional to 11,809.86, 17,696.94 and 7,124.66 is: 10,676.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.86 : 17,696.94 = 7,124.66 : x
  2. Step 2: Convert to fraction form
    11,809.86/17,696.94 = 7,124.66/x
  3. Step 3: Cross multiply
    11,809.86x = 17,696.94 × 7,124.66
  4. Step 4: Simplify right side
    11,809.86x = 126,084,592.06
  5. Step 5: Solve for x
    x = 126,084,592.06/11,809.86
  6. Step 6: Final answer
    x = 10,676.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.