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Finding the Fourth Proportional to 8,471.29, 12,707.30 and 2,627.77

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Solution

The fourth proportional to 8,471.29, 12,707.30 and 2,627.77 is: 3,941.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.29 : 12,707.30 = 2,627.77 : x
  2. Step 2: Convert to fraction form
    8,471.29/12,707.30 = 2,627.77/x
  3. Step 3: Cross multiply
    8,471.29x = 12,707.30 × 2,627.77
  4. Step 4: Simplify right side
    8,471.29x = 33,391,861.72
  5. Step 5: Solve for x
    x = 33,391,861.72/8,471.29
  6. Step 6: Final answer
    x = 3,941.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.