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Finding the Fourth Proportional to 8,286.86, 12,430.42 and 2,444.06

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Solution

The fourth proportional to 8,286.86, 12,430.42 and 2,444.06 is: 3,666.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.86 : 12,430.42 = 2,444.06 : x
  2. Step 2: Convert to fraction form
    8,286.86/12,430.42 = 2,444.06/x
  3. Step 3: Cross multiply
    8,286.86x = 12,430.42 × 2,444.06
  4. Step 4: Simplify right side
    8,286.86x = 30,380,692.31
  5. Step 5: Solve for x
    x = 30,380,692.31/8,286.86
  6. Step 6: Final answer
    x = 3,666.13

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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.