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Finding the Fourth Proportional to 8,042.12, 12,056.82 and 5,225

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Solution

The fourth proportional to 8,042.12, 12,056.82 and 5,225 is: 7,833.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.12 : 12,056.82 = 5,225 : x
  2. Step 2: Convert to fraction form
    8,042.12/12,056.82 = 5,225/x
  3. Step 3: Cross multiply
    8,042.12x = 12,056.82 × 5,225
  4. Step 4: Simplify right side
    8,042.12x = 62,996,884.50
  5. Step 5: Solve for x
    x = 62,996,884.50/8,042.12
  6. Step 6: Final answer
    x = 7,833.37

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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.