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Finding the Fourth Proportional to 11,963.14, 16,492.02 and 8,415.34

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Solution

The fourth proportional to 11,963.14, 16,492.02 and 8,415.34 is: 11,601.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.14 : 16,492.02 = 8,415.34 : x
  2. Step 2: Convert to fraction form
    11,963.14/16,492.02 = 8,415.34/x
  3. Step 3: Cross multiply
    11,963.14x = 16,492.02 × 8,415.34
  4. Step 4: Simplify right side
    11,963.14x = 138,786,022.90
  5. Step 5: Solve for x
    x = 138,786,022.90/11,963.14
  6. Step 6: Final answer
    x = 11,601.13

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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.