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Finding the Fourth Proportional to 8,059.89, 12,094.38 and 3,129.87

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Solution

The fourth proportional to 8,059.89, 12,094.38 and 3,129.87 is: 4,696.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,059.89 : 12,094.38 = 3,129.87 : x
  2. Step 2: Convert to fraction form
    8,059.89/12,094.38 = 3,129.87/x
  3. Step 3: Cross multiply
    8,059.89x = 12,094.38 × 3,129.87
  4. Step 4: Simplify right side
    8,059.89x = 37,853,837.13
  5. Step 5: Solve for x
    x = 37,853,837.13/8,059.89
  6. Step 6: Final answer
    x = 4,696.57

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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.