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Finding the Fourth Proportional to 8,684.64, 13,029.12 and 2,528.64

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Solution

The fourth proportional to 8,684.64, 13,029.12 and 2,528.64 is: 3,793.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684.64 : 13,029.12 = 2,528.64 : x
  2. Step 2: Convert to fraction form
    8,684.64/13,029.12 = 2,528.64/x
  3. Step 3: Cross multiply
    8,684.64x = 13,029.12 × 2,528.64
  4. Step 4: Simplify right side
    8,684.64x = 32,945,954.00
  5. Step 5: Solve for x
    x = 32,945,954.00/8,684.64
  6. Step 6: Final answer
    x = 3,793.59

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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.