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Finding the Fourth Proportional to 6,520.57, 9,780.82 and 5,640.44

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Solution

The fourth proportional to 6,520.57, 9,780.82 and 5,640.44 is: 8,460.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.57 : 9,780.82 = 5,640.44 : x
  2. Step 2: Convert to fraction form
    6,520.57/9,780.82 = 5,640.44/x
  3. Step 3: Cross multiply
    6,520.57x = 9,780.82 × 5,640.44
  4. Step 4: Simplify right side
    6,520.57x = 55,168,065.36
  5. Step 5: Solve for x
    x = 55,168,065.36/6,520.57
  6. Step 6: Final answer
    x = 8,460.62

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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.