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Finding the Fourth Proportional to 8,059.44, 12,085.20 and 4,728.54

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Solution

The fourth proportional to 8,059.44, 12,085.20 and 4,728.54 is: 7,090.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,059.44 : 12,085.20 = 4,728.54 : x
  2. Step 2: Convert to fraction form
    8,059.44/12,085.20 = 4,728.54/x
  3. Step 3: Cross multiply
    8,059.44x = 12,085.20 × 4,728.54
  4. Step 4: Simplify right side
    8,059.44x = 57,145,351.61
  5. Step 5: Solve for x
    x = 57,145,351.61/8,059.44
  6. Step 6: Final answer
    x = 7,090.49

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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.