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Finding the Fourth Proportional to 8,478.64, 12,716.50 and 2,238.72

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Solution

The fourth proportional to 8,478.64, 12,716.50 and 2,238.72 is: 3,357.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.64 : 12,716.50 = 2,238.72 : x
  2. Step 2: Convert to fraction form
    8,478.64/12,716.50 = 2,238.72/x
  3. Step 3: Cross multiply
    8,478.64x = 12,716.50 × 2,238.72
  4. Step 4: Simplify right side
    8,478.64x = 28,468,682.88
  5. Step 5: Solve for x
    x = 28,468,682.88/8,478.64
  6. Step 6: Final answer
    x = 3,357.69

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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.