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Finding the Fourth Proportional to 11,657.27, 16,087.02 and 6,352.08

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Solution

The fourth proportional to 11,657.27, 16,087.02 and 6,352.08 is: 8,765.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.27 : 16,087.02 = 6,352.08 : x
  2. Step 2: Convert to fraction form
    11,657.27/16,087.02 = 6,352.08/x
  3. Step 3: Cross multiply
    11,657.27x = 16,087.02 × 6,352.08
  4. Step 4: Simplify right side
    11,657.27x = 102,186,044.34
  5. Step 5: Solve for x
    x = 102,186,044.34/11,657.27
  6. Step 6: Final answer
    x = 8,765.87

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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.