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Finding the Fourth Proportional to 8,684.16, 13,028.67 and 3,493.68

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Solution

The fourth proportional to 8,684.16, 13,028.67 and 3,493.68 is: 5,241.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684.16 : 13,028.67 = 3,493.68 : x
  2. Step 2: Convert to fraction form
    8,684.16/13,028.67 = 3,493.68/x
  3. Step 3: Cross multiply
    8,684.16x = 13,028.67 × 3,493.68
  4. Step 4: Simplify right side
    8,684.16x = 45,518,003.81
  5. Step 5: Solve for x
    x = 45,518,003.81/8,684.16
  6. Step 6: Final answer
    x = 5,241.50

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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.