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Finding the Fourth Proportional to 8,312.70, 12,472.65 and 3,927.90

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Solution

The fourth proportional to 8,312.70, 12,472.65 and 3,927.90 is: 5,893.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.70 : 12,472.65 = 3,927.90 : x
  2. Step 2: Convert to fraction form
    8,312.70/12,472.65 = 3,927.90/x
  3. Step 3: Cross multiply
    8,312.70x = 12,472.65 × 3,927.90
  4. Step 4: Simplify right side
    8,312.70x = 48,991,321.94
  5. Step 5: Solve for x
    x = 48,991,321.94/8,312.70
  6. Step 6: Final answer
    x = 5,893.55

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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.