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Finding the Fourth Proportional to 7,714.17, 11,568.85 and 2,783.16

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Solution

The fourth proportional to 7,714.17, 11,568.85 and 2,783.16 is: 4,173.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.17 : 11,568.85 = 2,783.16 : x
  2. Step 2: Convert to fraction form
    7,714.17/11,568.85 = 2,783.16/x
  3. Step 3: Cross multiply
    7,714.17x = 11,568.85 × 2,783.16
  4. Step 4: Simplify right side
    7,714.17x = 32,197,960.57
  5. Step 5: Solve for x
    x = 32,197,960.57/7,714.17
  6. Step 6: Final answer
    x = 4,173.88

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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.