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Finding the Fourth Proportional to 11,660.85, 16,097.85 and 7,416.18

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Solution

The fourth proportional to 11,660.85, 16,097.85 and 7,416.18 is: 10,238.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.85 : 16,097.85 = 7,416.18 : x
  2. Step 2: Convert to fraction form
    11,660.85/16,097.85 = 7,416.18/x
  3. Step 3: Cross multiply
    11,660.85x = 16,097.85 × 7,416.18
  4. Step 4: Simplify right side
    11,660.85x = 119,384,553.21
  5. Step 5: Solve for x
    x = 119,384,553.21/11,660.85
  6. Step 6: Final answer
    x = 10,238.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.