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Finding the Fourth Proportional to 8,017.86, 12,027.90 and 2,471.64

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Solution

The fourth proportional to 8,017.86, 12,027.90 and 2,471.64 is: 3,707.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,017.86 : 12,027.90 = 2,471.64 : x
  2. Step 2: Convert to fraction form
    8,017.86/12,027.90 = 2,471.64/x
  3. Step 3: Cross multiply
    8,017.86x = 12,027.90 × 2,471.64
  4. Step 4: Simplify right side
    8,017.86x = 29,728,638.76
  5. Step 5: Solve for x
    x = 29,728,638.76/8,017.86
  6. Step 6: Final answer
    x = 3,707.80

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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.