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Finding the Fourth Proportional to 8,241.42, 11,374.32 and 4,704.84

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Solution

The fourth proportional to 8,241.42, 11,374.32 and 4,704.84 is: 6,493.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.42 : 11,374.32 = 4,704.84 : x
  2. Step 2: Convert to fraction form
    8,241.42/11,374.32 = 4,704.84/x
  3. Step 3: Cross multiply
    8,241.42x = 11,374.32 × 4,704.84
  4. Step 4: Simplify right side
    8,241.42x = 53,514,355.71
  5. Step 5: Solve for x
    x = 53,514,355.71/8,241.42
  6. Step 6: Final answer
    x = 6,493.34

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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.