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Finding the Fourth Proportional to 10,734.84, 16,082.28 and 7,023.96

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Solution

The fourth proportional to 10,734.84, 16,082.28 and 7,023.96 is: 10,522.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,734.84 : 16,082.28 = 7,023.96 : x
  2. Step 2: Convert to fraction form
    10,734.84/16,082.28 = 7,023.96/x
  3. Step 3: Cross multiply
    10,734.84x = 16,082.28 × 7,023.96
  4. Step 4: Simplify right side
    10,734.84x = 112,961,291.43
  5. Step 5: Solve for x
    x = 112,961,291.43/10,734.84
  6. Step 6: Final answer
    x = 10,522.87

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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.