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Finding the Fourth Proportional to 7,512.10, 11,268.17 and 3,129.50

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Solution

The fourth proportional to 7,512.10, 11,268.17 and 3,129.50 is: 4,694.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,512.10 : 11,268.17 = 3,129.50 : x
  2. Step 2: Convert to fraction form
    7,512.10/11,268.17 = 3,129.50/x
  3. Step 3: Cross multiply
    7,512.10x = 11,268.17 × 3,129.50
  4. Step 4: Simplify right side
    7,512.10x = 35,263,738.02
  5. Step 5: Solve for x
    x = 35,263,738.02/7,512.10
  6. Step 6: Final answer
    x = 4,694.26

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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.