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Finding the Fourth Proportional to 8,210.57, 12,327.26 and 5,705.86

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Solution

The fourth proportional to 8,210.57, 12,327.26 and 5,705.86 is: 8,566.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.57 : 12,327.26 = 5,705.86 : x
  2. Step 2: Convert to fraction form
    8,210.57/12,327.26 = 5,705.86/x
  3. Step 3: Cross multiply
    8,210.57x = 12,327.26 × 5,705.86
  4. Step 4: Simplify right side
    8,210.57x = 70,337,558.11
  5. Step 5: Solve for x
    x = 70,337,558.11/8,210.57
  6. Step 6: Final answer
    x = 8,566.71

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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.