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Finding the Fourth Proportional to 7,714.10, 11,568.75 and 2,783.10

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Solution

The fourth proportional to 7,714.10, 11,568.75 and 2,783.10 is: 4,173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.10 : 11,568.75 = 2,783.10 : x
  2. Step 2: Convert to fraction form
    7,714.10/11,568.75 = 2,783.10/x
  3. Step 3: Cross multiply
    7,714.10x = 11,568.75 × 2,783.10
  4. Step 4: Simplify right side
    7,714.10x = 32,196,988.13
  5. Step 5: Solve for x
    x = 32,196,988.13/7,714.10
  6. Step 6: Final answer
    x = 4,173.78

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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.