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Finding the Fourth Proportional to 7,448.64, 11,174.34 and 2,451.30

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Solution

The fourth proportional to 7,448.64, 11,174.34 and 2,451.30 is: 3,677.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,448.64 : 11,174.34 = 2,451.30 : x
  2. Step 2: Convert to fraction form
    7,448.64/11,174.34 = 2,451.30/x
  3. Step 3: Cross multiply
    7,448.64x = 11,174.34 × 2,451.30
  4. Step 4: Simplify right side
    7,448.64x = 27,391,659.64
  5. Step 5: Solve for x
    x = 27,391,659.64/7,448.64
  6. Step 6: Final answer
    x = 3,677.40

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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.