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Finding the Fourth Proportional to 7,082.84, 10,620.75 and 4,274.57

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Solution

The fourth proportional to 7,082.84, 10,620.75 and 4,274.57 is: 6,409.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.84 : 10,620.75 = 4,274.57 : x
  2. Step 2: Convert to fraction form
    7,082.84/10,620.75 = 4,274.57/x
  3. Step 3: Cross multiply
    7,082.84x = 10,620.75 × 4,274.57
  4. Step 4: Simplify right side
    7,082.84x = 45,399,181.91
  5. Step 5: Solve for x
    x = 45,399,181.91/7,082.84
  6. Step 6: Final answer
    x = 6,409.74

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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.