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Finding the Fourth Proportional to 8,482.60, 12,723.88 and 4,100.48

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Solution

The fourth proportional to 8,482.60, 12,723.88 and 4,100.48 is: 6,150.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.60 : 12,723.88 = 4,100.48 : x
  2. Step 2: Convert to fraction form
    8,482.60/12,723.88 = 4,100.48/x
  3. Step 3: Cross multiply
    8,482.60x = 12,723.88 × 4,100.48
  4. Step 4: Simplify right side
    8,482.60x = 52,174,015.46
  5. Step 5: Solve for x
    x = 52,174,015.46/8,482.60
  6. Step 6: Final answer
    x = 6,150.71

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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.