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Finding the Fourth Proportional to 8,394.96, 12,592.48 and 3,714

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Solution

The fourth proportional to 8,394.96, 12,592.48 and 3,714 is: 5,571.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,394.96 : 12,592.48 = 3,714 : x
  2. Step 2: Convert to fraction form
    8,394.96/12,592.48 = 3,714/x
  3. Step 3: Cross multiply
    8,394.96x = 12,592.48 × 3,714
  4. Step 4: Simplify right side
    8,394.96x = 46,768,470.72
  5. Step 5: Solve for x
    x = 46,768,470.72/8,394.96
  6. Step 6: Final answer
    x = 5,571.02

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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.