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Finding the Fourth Proportional to 7,269.67, 10,032.51 and 4,082.80

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Solution

The fourth proportional to 7,269.67, 10,032.51 and 4,082.80 is: 5,634.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,269.67 : 10,032.51 = 4,082.80 : x
  2. Step 2: Convert to fraction form
    7,269.67/10,032.51 = 4,082.80/x
  3. Step 3: Cross multiply
    7,269.67x = 10,032.51 × 4,082.80
  4. Step 4: Simplify right side
    7,269.67x = 40,960,706.42
  5. Step 5: Solve for x
    x = 40,960,706.42/7,269.67
  6. Step 6: Final answer
    x = 5,634.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.