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Finding the Fourth Proportional to 8,127.09, 12,186.09 and 3,059.22

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Solution

The fourth proportional to 8,127.09, 12,186.09 and 3,059.22 is: 4,587.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127.09 : 12,186.09 = 3,059.22 : x
  2. Step 2: Convert to fraction form
    8,127.09/12,186.09 = 3,059.22/x
  3. Step 3: Cross multiply
    8,127.09x = 12,186.09 × 3,059.22
  4. Step 4: Simplify right side
    8,127.09x = 37,279,930.25
  5. Step 5: Solve for x
    x = 37,279,930.25/8,127.09
  6. Step 6: Final answer
    x = 4,587.12

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