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Finding the Fourth Proportional to 8,698.86, 13,049.30 and 2,773.68

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Solution

The fourth proportional to 8,698.86, 13,049.30 and 2,773.68 is: 4,160.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,698.86 : 13,049.30 = 2,773.68 : x
  2. Step 2: Convert to fraction form
    8,698.86/13,049.30 = 2,773.68/x
  3. Step 3: Cross multiply
    8,698.86x = 13,049.30 × 2,773.68
  4. Step 4: Simplify right side
    8,698.86x = 36,194,503.31
  5. Step 5: Solve for x
    x = 36,194,503.31/8,698.86
  6. Step 6: Final answer
    x = 4,160.84

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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.