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Finding the Fourth Proportional to 8,302.89, 11,461.19 and 6,082.40

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Solution

The fourth proportional to 8,302.89, 11,461.19 and 6,082.40 is: 8,396.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.89 : 11,461.19 = 6,082.40 : x
  2. Step 2: Convert to fraction form
    8,302.89/11,461.19 = 6,082.40/x
  3. Step 3: Cross multiply
    8,302.89x = 11,461.19 × 6,082.40
  4. Step 4: Simplify right side
    8,302.89x = 69,711,586.35
  5. Step 5: Solve for x
    x = 69,711,586.35/8,302.89
  6. Step 6: Final answer
    x = 8,396.06

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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.