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Finding the Fourth Proportional to 8,038, 12,056.92 and 2,194.61

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Solution

The fourth proportional to 8,038, 12,056.92 and 2,194.61 is: 3,291.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038 : 12,056.92 = 2,194.61 : x
  2. Step 2: Convert to fraction form
    8,038/12,056.92 = 2,194.61/x
  3. Step 3: Cross multiply
    8,038x = 12,056.92 × 2,194.61
  4. Step 4: Simplify right side
    8,038x = 26,460,237.20
  5. Step 5: Solve for x
    x = 26,460,237.20/8,038
  6. Step 6: Final answer
    x = 3,291.89

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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.