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Finding the Fourth Proportional to 7,930.15, 11,896.04 and 2,734.81

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Solution

The fourth proportional to 7,930.15, 11,896.04 and 2,734.81 is: 4,102.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.15 : 11,896.04 = 2,734.81 : x
  2. Step 2: Convert to fraction form
    7,930.15/11,896.04 = 2,734.81/x
  3. Step 3: Cross multiply
    7,930.15x = 11,896.04 × 2,734.81
  4. Step 4: Simplify right side
    7,930.15x = 32,533,409.15
  5. Step 5: Solve for x
    x = 32,533,409.15/7,930.15
  6. Step 6: Final answer
    x = 4,102.50

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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.