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Finding the Fourth Proportional to 8,241.92, 11,373.84 and 4,465.05

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Solution

The fourth proportional to 8,241.92, 11,373.84 and 4,465.05 is: 6,161.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.92 : 11,373.84 = 4,465.05 : x
  2. Step 2: Convert to fraction form
    8,241.92/11,373.84 = 4,465.05/x
  3. Step 3: Cross multiply
    8,241.92x = 11,373.84 × 4,465.05
  4. Step 4: Simplify right side
    8,241.92x = 50,784,721.64
  5. Step 5: Solve for x
    x = 50,784,721.64/8,241.92
  6. Step 6: Final answer
    x = 6,161.76

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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.