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Finding the Fourth Proportional to 11,817.16, 16,307.73 and 6,511.86

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Solution

The fourth proportional to 11,817.16, 16,307.73 and 6,511.86 is: 8,986.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.16 : 16,307.73 = 6,511.86 : x
  2. Step 2: Convert to fraction form
    11,817.16/16,307.73 = 6,511.86/x
  3. Step 3: Cross multiply
    11,817.16x = 16,307.73 × 6,511.86
  4. Step 4: Simplify right side
    11,817.16x = 106,193,654.68
  5. Step 5: Solve for x
    x = 106,193,654.68/11,817.16
  6. Step 6: Final answer
    x = 8,986.39

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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.