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Finding the Fourth Proportional to 8,405.64, 12,604.28 and 3,138.39

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Solution

The fourth proportional to 8,405.64, 12,604.28 and 3,138.39 is: 4,706.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.64 : 12,604.28 = 3,138.39 : x
  2. Step 2: Convert to fraction form
    8,405.64/12,604.28 = 3,138.39/x
  3. Step 3: Cross multiply
    8,405.64x = 12,604.28 × 3,138.39
  4. Step 4: Simplify right side
    8,405.64x = 39,557,130.62
  5. Step 5: Solve for x
    x = 39,557,130.62/8,405.64
  6. Step 6: Final answer
    x = 4,706.02

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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.