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Finding the Fourth Proportional to 6,801.65, 10,207.94 and 3,515.70

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Solution

The fourth proportional to 6,801.65, 10,207.94 and 3,515.70 is: 5,276.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.65 : 10,207.94 = 3,515.70 : x
  2. Step 2: Convert to fraction form
    6,801.65/10,207.94 = 3,515.70/x
  3. Step 3: Cross multiply
    6,801.65x = 10,207.94 × 3,515.70
  4. Step 4: Simplify right side
    6,801.65x = 35,888,037.08
  5. Step 5: Solve for x
    x = 35,888,037.08/6,801.65
  6. Step 6: Final answer
    x = 5,276.38

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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.