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Finding the Fourth Proportional to 11,657.34, 16,087.12 and 6,352.14

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Solution

The fourth proportional to 11,657.34, 16,087.12 and 6,352.14 is: 8,765.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.34 : 16,087.12 = 6,352.14 : x
  2. Step 2: Convert to fraction form
    11,657.34/16,087.12 = 6,352.14/x
  3. Step 3: Cross multiply
    11,657.34x = 16,087.12 × 6,352.14
  4. Step 4: Simplify right side
    11,657.34x = 102,187,638.44
  5. Step 5: Solve for x
    x = 102,187,638.44/11,657.34
  6. Step 6: Final answer
    x = 8,765.95

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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.