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Finding the Fourth Proportional to 11,698.14, 16,143.21 and 6,392.94

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Solution

The fourth proportional to 11,698.14, 16,143.21 and 6,392.94 is: 8,822.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.14 : 16,143.21 = 6,392.94 : x
  2. Step 2: Convert to fraction form
    11,698.14/16,143.21 = 6,392.94/x
  3. Step 3: Cross multiply
    11,698.14x = 16,143.21 × 6,392.94
  4. Step 4: Simplify right side
    11,698.14x = 103,202,572.94
  5. Step 5: Solve for x
    x = 103,202,572.94/11,698.14
  6. Step 6: Final answer
    x = 8,822.14

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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.