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Finding the Fourth Proportional to 8,303.46, 11,461.97 and 6,082.97

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Solution

The fourth proportional to 8,303.46, 11,461.97 and 6,082.97 is: 8,396.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303.46 : 11,461.97 = 6,082.97 : x
  2. Step 2: Convert to fraction form
    8,303.46/11,461.97 = 6,082.97/x
  3. Step 3: Cross multiply
    8,303.46x = 11,461.97 × 6,082.97
  4. Step 4: Simplify right side
    8,303.46x = 69,722,834.86
  5. Step 5: Solve for x
    x = 69,722,834.86/8,303.46
  6. Step 6: Final answer
    x = 8,396.84

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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.