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Finding the Fourth Proportional to 8,380.53, 12,572.42 and 3,186

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Solution

The fourth proportional to 8,380.53, 12,572.42 and 3,186 is: 4,779.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.53 : 12,572.42 = 3,186 : x
  2. Step 2: Convert to fraction form
    8,380.53/12,572.42 = 3,186/x
  3. Step 3: Cross multiply
    8,380.53x = 12,572.42 × 3,186
  4. Step 4: Simplify right side
    8,380.53x = 40,055,714.19
  5. Step 5: Solve for x
    x = 40,055,714.19/8,380.53
  6. Step 6: Final answer
    x = 4,779.62

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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.