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Finding the Fourth Proportional to 6,588.63, 9,884.57 and 2,640.15

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Solution

The fourth proportional to 6,588.63, 9,884.57 and 2,640.15 is: 3,960.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.63 : 9,884.57 = 2,640.15 : x
  2. Step 2: Convert to fraction form
    6,588.63/9,884.57 = 2,640.15/x
  3. Step 3: Cross multiply
    6,588.63x = 9,884.57 × 2,640.15
  4. Step 4: Simplify right side
    6,588.63x = 26,096,734.28
  5. Step 5: Solve for x
    x = 26,096,734.28/6,588.63
  6. Step 6: Final answer
    x = 3,960.87

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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.