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Finding the Fourth Proportional to 7,241.49, 9,994.41 and 4,258.05

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Solution

The fourth proportional to 7,241.49, 9,994.41 and 4,258.05 is: 5,876.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.49 : 9,994.41 = 4,258.05 : x
  2. Step 2: Convert to fraction form
    7,241.49/9,994.41 = 4,258.05/x
  3. Step 3: Cross multiply
    7,241.49x = 9,994.41 × 4,258.05
  4. Step 4: Simplify right side
    7,241.49x = 42,556,697.50
  5. Step 5: Solve for x
    x = 42,556,697.50/7,241.49
  6. Step 6: Final answer
    x = 5,876.79

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