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Finding the Fourth Proportional to 8,034.42, 12,042.98 and 3,102.60

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Solution

The fourth proportional to 8,034.42, 12,042.98 and 3,102.60 is: 4,650.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.42 : 12,042.98 = 3,102.60 : x
  2. Step 2: Convert to fraction form
    8,034.42/12,042.98 = 3,102.60/x
  3. Step 3: Cross multiply
    8,034.42x = 12,042.98 × 3,102.60
  4. Step 4: Simplify right side
    8,034.42x = 37,364,549.75
  5. Step 5: Solve for x
    x = 37,364,549.75/8,034.42
  6. Step 6: Final answer
    x = 4,650.56

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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.