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Finding the Fourth Proportional to 7,714.19, 11,571.21 and 2,783.79

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Solution

The fourth proportional to 7,714.19, 11,571.21 and 2,783.79 is: 4,175.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.19 : 11,571.21 = 2,783.79 : x
  2. Step 2: Convert to fraction form
    7,714.19/11,571.21 = 2,783.79/x
  3. Step 3: Cross multiply
    7,714.19x = 11,571.21 × 2,783.79
  4. Step 4: Simplify right side
    7,714.19x = 32,211,818.69
  5. Step 5: Solve for x
    x = 32,211,818.69/7,714.19
  6. Step 6: Final answer
    x = 4,175.66

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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.