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Finding the Fourth Proportional to 11,146.10, 16,709.91 and 8,691.80

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Solution

The fourth proportional to 11,146.10, 16,709.91 and 8,691.80 is: 13,030.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146.10 : 16,709.91 = 8,691.80 : x
  2. Step 2: Convert to fraction form
    11,146.10/16,709.91 = 8,691.80/x
  3. Step 3: Cross multiply
    11,146.10x = 16,709.91 × 8,691.80
  4. Step 4: Simplify right side
    11,146.10x = 145,239,112.19
  5. Step 5: Solve for x
    x = 145,239,112.19/11,146.10
  6. Step 6: Final answer
    x = 13,030.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.