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Finding the Fourth Proportional to 8,482.96, 12,723.96 and 3,550

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Solution

The fourth proportional to 8,482.96, 12,723.96 and 3,550 is: 5,324.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.96 : 12,723.96 = 3,550 : x
  2. Step 2: Convert to fraction form
    8,482.96/12,723.96 = 3,550/x
  3. Step 3: Cross multiply
    8,482.96x = 12,723.96 × 3,550
  4. Step 4: Simplify right side
    8,482.96x = 45,170,058
  5. Step 5: Solve for x
    x = 45,170,058/8,482.96
  6. Step 6: Final answer
    x = 5,324.80

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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.