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Finding the Fourth Proportional to 11,798.88, 16,262.10 and 10,118.16

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Solution

The fourth proportional to 11,798.88, 16,262.10 and 10,118.16 is: 13,945.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.88 : 16,262.10 = 10,118.16 : x
  2. Step 2: Convert to fraction form
    11,798.88/16,262.10 = 10,118.16/x
  3. Step 3: Cross multiply
    11,798.88x = 16,262.10 × 10,118.16
  4. Step 4: Simplify right side
    11,798.88x = 164,542,529.74
  5. Step 5: Solve for x
    x = 164,542,529.74/11,798.88
  6. Step 6: Final answer
    x = 13,945.61

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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.