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Finding the Fourth Proportional to 7,714.80, 11,568.15 and 2,783.70

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Solution

The fourth proportional to 7,714.80, 11,568.15 and 2,783.70 is: 4,174.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.80 : 11,568.15 = 2,783.70 : x
  2. Step 2: Convert to fraction form
    7,714.80/11,568.15 = 2,783.70/x
  3. Step 3: Cross multiply
    7,714.80x = 11,568.15 × 2,783.70
  4. Step 4: Simplify right side
    7,714.80x = 32,202,259.16
  5. Step 5: Solve for x
    x = 32,202,259.16/7,714.80
  6. Step 6: Final answer
    x = 4,174.09

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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.