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Finding the Fourth Proportional to 7,348.46, 11,023.94 and 2,419.49

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Solution

The fourth proportional to 7,348.46, 11,023.94 and 2,419.49 is: 3,629.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,348.46 : 11,023.94 = 2,419.49 : x
  2. Step 2: Convert to fraction form
    7,348.46/11,023.94 = 2,419.49/x
  3. Step 3: Cross multiply
    7,348.46x = 11,023.94 × 2,419.49
  4. Step 4: Simplify right side
    7,348.46x = 26,672,346.20
  5. Step 5: Solve for x
    x = 26,672,346.20/7,348.46
  6. Step 6: Final answer
    x = 3,629.65

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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.