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Finding the Fourth Proportional to 8,032.50, 12,052.80 and 3,105.54

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Solution

The fourth proportional to 8,032.50, 12,052.80 and 3,105.54 is: 4,659.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.50 : 12,052.80 = 3,105.54 : x
  2. Step 2: Convert to fraction form
    8,032.50/12,052.80 = 3,105.54/x
  3. Step 3: Cross multiply
    8,032.50x = 12,052.80 × 3,105.54
  4. Step 4: Simplify right side
    8,032.50x = 37,430,452.51
  5. Step 5: Solve for x
    x = 37,430,452.51/8,032.50
  6. Step 6: Final answer
    x = 4,659.88

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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.