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Finding the Fourth Proportional to 6,520.80, 9,781.20 and 2,624.16

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Solution

The fourth proportional to 6,520.80, 9,781.20 and 2,624.16 is: 3,936.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.80 : 9,781.20 = 2,624.16 : x
  2. Step 2: Convert to fraction form
    6,520.80/9,781.20 = 2,624.16/x
  3. Step 3: Cross multiply
    6,520.80x = 9,781.20 × 2,624.16
  4. Step 4: Simplify right side
    6,520.80x = 25,667,433.79
  5. Step 5: Solve for x
    x = 25,667,433.79/6,520.80
  6. Step 6: Final answer
    x = 3,936.24

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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.