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Finding the Fourth Proportional to 11,467.98, 15,817.68 and 8,059.50

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Solution

The fourth proportional to 11,467.98, 15,817.68 and 8,059.50 is: 11,116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,467.98 : 15,817.68 = 8,059.50 : x
  2. Step 2: Convert to fraction form
    11,467.98/15,817.68 = 8,059.50/x
  3. Step 3: Cross multiply
    11,467.98x = 15,817.68 × 8,059.50
  4. Step 4: Simplify right side
    11,467.98x = 127,482,591.96
  5. Step 5: Solve for x
    x = 127,482,591.96/11,467.98
  6. Step 6: Final answer
    x = 11,116.39

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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.