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Finding the Fourth Proportional to 6,715.62, 10,082.57 and 4,630.46

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Solution

The fourth proportional to 6,715.62, 10,082.57 and 4,630.46 is: 6,951.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,715.62 : 10,082.57 = 4,630.46 : x
  2. Step 2: Convert to fraction form
    6,715.62/10,082.57 = 4,630.46/x
  3. Step 3: Cross multiply
    6,715.62x = 10,082.57 × 4,630.46
  4. Step 4: Simplify right side
    6,715.62x = 46,686,863.52
  5. Step 5: Solve for x
    x = 46,686,863.52/6,715.62
  6. Step 6: Final answer
    x = 6,951.98

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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.