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Finding the Fourth Proportional to 11,107.96, 16,588.65 and 9,883.24

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Solution

The fourth proportional to 11,107.96, 16,588.65 and 9,883.24 is: 14,759.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,107.96 : 16,588.65 = 9,883.24 : x
  2. Step 2: Convert to fraction form
    11,107.96/16,588.65 = 9,883.24/x
  3. Step 3: Cross multiply
    11,107.96x = 16,588.65 × 9,883.24
  4. Step 4: Simplify right side
    11,107.96x = 163,949,609.23
  5. Step 5: Solve for x
    x = 163,949,609.23/11,107.96
  6. Step 6: Final answer
    x = 14,759.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.