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Finding the Fourth Proportional to 6,535.80, 9,803.68 and 2,640.16

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Solution

The fourth proportional to 6,535.80, 9,803.68 and 2,640.16 is: 3,960.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.80 : 9,803.68 = 2,640.16 : x
  2. Step 2: Convert to fraction form
    6,535.80/9,803.68 = 2,640.16/x
  3. Step 3: Cross multiply
    6,535.80x = 9,803.68 × 2,640.16
  4. Step 4: Simplify right side
    6,535.80x = 25,883,283.79
  5. Step 5: Solve for x
    x = 25,883,283.79/6,535.80
  6. Step 6: Final answer
    x = 3,960.23

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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.