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Finding the Fourth Proportional to 11,896.63, 16,401.36 and 10,210.75

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Solution

The fourth proportional to 11,896.63, 16,401.36 and 10,210.75 is: 14,077.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.63 : 16,401.36 = 10,210.75 : x
  2. Step 2: Convert to fraction form
    11,896.63/16,401.36 = 10,210.75/x
  3. Step 3: Cross multiply
    11,896.63x = 16,401.36 × 10,210.75
  4. Step 4: Simplify right side
    11,896.63x = 167,470,186.62
  5. Step 5: Solve for x
    x = 167,470,186.62/11,896.63
  6. Step 6: Final answer
    x = 14,077.11

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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.