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Finding the Fourth Proportional to 11,693.38, 16,135.81 and 7,218.58

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Solution

The fourth proportional to 11,693.38, 16,135.81 and 7,218.58 is: 9,960.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.38 : 16,135.81 = 7,218.58 : x
  2. Step 2: Convert to fraction form
    11,693.38/16,135.81 = 7,218.58/x
  3. Step 3: Cross multiply
    11,693.38x = 16,135.81 × 7,218.58
  4. Step 4: Simplify right side
    11,693.38x = 116,477,635.35
  5. Step 5: Solve for x
    x = 116,477,635.35/11,693.38
  6. Step 6: Final answer
    x = 9,960.99

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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.