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Finding the Fourth Proportional to 8,449.07, 11,654.22 and 5,419.39

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Solution

The fourth proportional to 8,449.07, 11,654.22 and 5,419.39 is: 7,475.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.07 : 11,654.22 = 5,419.39 : x
  2. Step 2: Convert to fraction form
    8,449.07/11,654.22 = 5,419.39/x
  3. Step 3: Cross multiply
    8,449.07x = 11,654.22 × 5,419.39
  4. Step 4: Simplify right side
    8,449.07x = 63,158,763.33
  5. Step 5: Solve for x
    x = 63,158,763.33/8,449.07
  6. Step 6: Final answer
    x = 7,475.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.