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Finding the Fourth Proportional to 6,769.26, 10,152.50 and 2,607.84

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Solution

The fourth proportional to 6,769.26, 10,152.50 and 2,607.84 is: 3,911.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769.26 : 10,152.50 = 2,607.84 : x
  2. Step 2: Convert to fraction form
    6,769.26/10,152.50 = 2,607.84/x
  3. Step 3: Cross multiply
    6,769.26x = 10,152.50 × 2,607.84
  4. Step 4: Simplify right side
    6,769.26x = 26,476,082.56
  5. Step 5: Solve for x
    x = 26,476,082.56/6,769.26
  6. Step 6: Final answer
    x = 3,911.22

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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.