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Finding the Fourth Proportional to 8,484.96, 12,728.16 and 3,290.88

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Solution

The fourth proportional to 8,484.96, 12,728.16 and 3,290.88 is: 4,936.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.96 : 12,728.16 = 3,290.88 : x
  2. Step 2: Convert to fraction form
    8,484.96/12,728.16 = 3,290.88/x
  3. Step 3: Cross multiply
    8,484.96x = 12,728.16 × 3,290.88
  4. Step 4: Simplify right side
    8,484.96x = 41,886,847.18
  5. Step 5: Solve for x
    x = 41,886,847.18/8,484.96
  6. Step 6: Final answer
    x = 4,936.60

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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.