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Finding the Fourth Proportional to 11,958.69, 16,503.53 and 9,965.91

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Solution

The fourth proportional to 11,958.69, 16,503.53 and 9,965.91 is: 13,753.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,958.69 : 16,503.53 = 9,965.91 : x
  2. Step 2: Convert to fraction form
    11,958.69/16,503.53 = 9,965.91/x
  3. Step 3: Cross multiply
    11,958.69x = 16,503.53 × 9,965.91
  4. Step 4: Simplify right side
    11,958.69x = 164,472,694.66
  5. Step 5: Solve for x
    x = 164,472,694.66/11,958.69
  6. Step 6: Final answer
    x = 13,753.40

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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.