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Finding the Fourth Proportional to 7,348.34, 11,024.14 and 2,419.50

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Solution

The fourth proportional to 7,348.34, 11,024.14 and 2,419.50 is: 3,629.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,348.34 : 11,024.14 = 2,419.50 : x
  2. Step 2: Convert to fraction form
    7,348.34/11,024.14 = 2,419.50/x
  3. Step 3: Cross multiply
    7,348.34x = 11,024.14 × 2,419.50
  4. Step 4: Simplify right side
    7,348.34x = 26,672,906.73
  5. Step 5: Solve for x
    x = 26,672,906.73/7,348.34
  6. Step 6: Final answer
    x = 3,629.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.