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Finding the Fourth Proportional to 7,714.46, 11,571.75 and 2,520.35

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Solution

The fourth proportional to 7,714.46, 11,571.75 and 2,520.35 is: 3,780.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.46 : 11,571.75 = 2,520.35 : x
  2. Step 2: Convert to fraction form
    7,714.46/11,571.75 = 2,520.35/x
  3. Step 3: Cross multiply
    7,714.46x = 11,571.75 × 2,520.35
  4. Step 4: Simplify right side
    7,714.46x = 29,164,860.11
  5. Step 5: Solve for x
    x = 29,164,860.11/7,714.46
  6. Step 6: Final answer
    x = 3,780.54

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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.