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Finding the Fourth Proportional to 7,614.94, 11,421.72 and 2,684.32

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Solution

The fourth proportional to 7,614.94, 11,421.72 and 2,684.32 is: 4,026.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.94 : 11,421.72 = 2,684.32 : x
  2. Step 2: Convert to fraction form
    7,614.94/11,421.72 = 2,684.32/x
  3. Step 3: Cross multiply
    7,614.94x = 11,421.72 × 2,684.32
  4. Step 4: Simplify right side
    7,614.94x = 30,659,551.43
  5. Step 5: Solve for x
    x = 30,659,551.43/7,614.94
  6. Step 6: Final answer
    x = 4,026.24

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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.