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Finding the Fourth Proportional to 8,498.75, 12,748.85 and 2,342.75

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Solution

The fourth proportional to 8,498.75, 12,748.85 and 2,342.75 is: 3,514.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.75 : 12,748.85 = 2,342.75 : x
  2. Step 2: Convert to fraction form
    8,498.75/12,748.85 = 2,342.75/x
  3. Step 3: Cross multiply
    8,498.75x = 12,748.85 × 2,342.75
  4. Step 4: Simplify right side
    8,498.75x = 29,867,356.62
  5. Step 5: Solve for x
    x = 29,867,356.62/8,498.75
  6. Step 6: Final answer
    x = 3,514.32

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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.