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Finding the Fourth Proportional to 8,471.72, 12,702.45 and 3,790.85

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Solution

The fourth proportional to 8,471.72, 12,702.45 and 3,790.85 is: 5,683.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.72 : 12,702.45 = 3,790.85 : x
  2. Step 2: Convert to fraction form
    8,471.72/12,702.45 = 3,790.85/x
  3. Step 3: Cross multiply
    8,471.72x = 12,702.45 × 3,790.85
  4. Step 4: Simplify right side
    8,471.72x = 48,153,142.33
  5. Step 5: Solve for x
    x = 48,153,142.33/8,471.72
  6. Step 6: Final answer
    x = 5,683.99

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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.