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Finding the Fourth Proportional to 11,144.80, 16,714.46 and 4,572.86

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Solution

The fourth proportional to 11,144.80, 16,714.46 and 4,572.86 is: 6,858.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,144.80 : 16,714.46 = 4,572.86 : x
  2. Step 2: Convert to fraction form
    11,144.80/16,714.46 = 4,572.86/x
  3. Step 3: Cross multiply
    11,144.80x = 16,714.46 × 4,572.86
  4. Step 4: Simplify right side
    11,144.80x = 76,432,885.56
  5. Step 5: Solve for x
    x = 76,432,885.56/11,144.80
  6. Step 6: Final answer
    x = 6,858.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.