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Finding the Fourth Proportional to 8,321.64, 12,484.64 and 3,939

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Solution

The fourth proportional to 8,321.64, 12,484.64 and 3,939 is: 5,909.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.64 : 12,484.64 = 3,939 : x
  2. Step 2: Convert to fraction form
    8,321.64/12,484.64 = 3,939/x
  3. Step 3: Cross multiply
    8,321.64x = 12,484.64 × 3,939
  4. Step 4: Simplify right side
    8,321.64x = 49,176,996.96
  5. Step 5: Solve for x
    x = 49,176,996.96/8,321.64
  6. Step 6: Final answer
    x = 5,909.53

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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.