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Finding the Fourth Proportional to 10,679.56, 16,000.14 and 6,517.40

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Solution

The fourth proportional to 10,679.56, 16,000.14 and 6,517.40 is: 9,764.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,679.56 : 16,000.14 = 6,517.40 : x
  2. Step 2: Convert to fraction form
    10,679.56/16,000.14 = 6,517.40/x
  3. Step 3: Cross multiply
    10,679.56x = 16,000.14 × 6,517.40
  4. Step 4: Simplify right side
    10,679.56x = 104,279,312.44
  5. Step 5: Solve for x
    x = 104,279,312.44/10,679.56
  6. Step 6: Final answer
    x = 9,764.38

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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.