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Finding the Fourth Proportional to 8,311.60, 12,461.82 and 3,925

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Solution

The fourth proportional to 8,311.60, 12,461.82 and 3,925 is: 5,884.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.60 : 12,461.82 = 3,925 : x
  2. Step 2: Convert to fraction form
    8,311.60/12,461.82 = 3,925/x
  3. Step 3: Cross multiply
    8,311.60x = 12,461.82 × 3,925
  4. Step 4: Simplify right side
    8,311.60x = 48,912,643.50
  5. Step 5: Solve for x
    x = 48,912,643.50/8,311.60
  6. Step 6: Final answer
    x = 5,884.86

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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.