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Finding the Fourth Proportional to 7,614.64, 11,422.32 and 2,420.56

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Solution

The fourth proportional to 7,614.64, 11,422.32 and 2,420.56 is: 3,630.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.64 : 11,422.32 = 2,420.56 : x
  2. Step 2: Convert to fraction form
    7,614.64/11,422.32 = 2,420.56/x
  3. Step 3: Cross multiply
    7,614.64x = 11,422.32 × 2,420.56
  4. Step 4: Simplify right side
    7,614.64x = 27,648,410.90
  5. Step 5: Solve for x
    x = 27,648,410.90/7,614.64
  6. Step 6: Final answer
    x = 3,630.95

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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.