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Finding the Fourth Proportional to 8,034.88, 12,050 and 3,103.40

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Solution

The fourth proportional to 8,034.88, 12,050 and 3,103.40 is: 4,654.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.88 : 12,050 = 3,103.40 : x
  2. Step 2: Convert to fraction form
    8,034.88/12,050 = 3,103.40/x
  3. Step 3: Cross multiply
    8,034.88x = 12,050 × 3,103.40
  4. Step 4: Simplify right side
    8,034.88x = 37,395,970
  5. Step 5: Solve for x
    x = 37,395,970/8,034.88
  6. Step 6: Final answer
    x = 4,654.20

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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.