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Finding the Fourth Proportional to 7,832.70, 11,748.74 and 2,568.11

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Solution

The fourth proportional to 7,832.70, 11,748.74 and 2,568.11 is: 3,852.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.70 : 11,748.74 = 2,568.11 : x
  2. Step 2: Convert to fraction form
    7,832.70/11,748.74 = 2,568.11/x
  3. Step 3: Cross multiply
    7,832.70x = 11,748.74 × 2,568.11
  4. Step 4: Simplify right side
    7,832.70x = 30,171,985.10
  5. Step 5: Solve for x
    x = 30,171,985.10/7,832.70
  6. Step 6: Final answer
    x = 3,852.05

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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.