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Finding the Fourth Proportional to 11,698.09, 16,143.09 and 6,392.94

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Solution

The fourth proportional to 11,698.09, 16,143.09 and 6,392.94 is: 8,822.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.09 : 16,143.09 = 6,392.94 : x
  2. Step 2: Convert to fraction form
    11,698.09/16,143.09 = 6,392.94/x
  3. Step 3: Cross multiply
    11,698.09x = 16,143.09 × 6,392.94
  4. Step 4: Simplify right side
    11,698.09x = 103,201,805.78
  5. Step 5: Solve for x
    x = 103,201,805.78/11,698.09
  6. Step 6: Final answer
    x = 8,822.11

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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.