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Finding the Fourth Proportional to 7,914.34, 11,872.73 and 2,719

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Solution

The fourth proportional to 7,914.34, 11,872.73 and 2,719 is: 4,078.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.34 : 11,872.73 = 2,719 : x
  2. Step 2: Convert to fraction form
    7,914.34/11,872.73 = 2,719/x
  3. Step 3: Cross multiply
    7,914.34x = 11,872.73 × 2,719
  4. Step 4: Simplify right side
    7,914.34x = 32,281,952.87
  5. Step 5: Solve for x
    x = 32,281,952.87/7,914.34
  6. Step 6: Final answer
    x = 4,078.92

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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.