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Finding the Fourth Proportional to 8,012.12, 11,056 and 5,179.60

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Solution

The fourth proportional to 8,012.12, 11,056 and 5,179.60 is: 7,147.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012.12 : 11,056 = 5,179.60 : x
  2. Step 2: Convert to fraction form
    8,012.12/11,056 = 5,179.60/x
  3. Step 3: Cross multiply
    8,012.12x = 11,056 × 5,179.60
  4. Step 4: Simplify right side
    8,012.12x = 57,265,657.60
  5. Step 5: Solve for x
    x = 57,265,657.60/8,012.12
  6. Step 6: Final answer
    x = 7,147.38

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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.