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Finding the Fourth Proportional to 11,730.35, 16,187.91 and 6,352.80

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Solution

The fourth proportional to 11,730.35, 16,187.91 and 6,352.80 is: 8,766.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,730.35 : 16,187.91 = 6,352.80 : x
  2. Step 2: Convert to fraction form
    11,730.35/16,187.91 = 6,352.80/x
  3. Step 3: Cross multiply
    11,730.35x = 16,187.91 × 6,352.80
  4. Step 4: Simplify right side
    11,730.35x = 102,838,554.65
  5. Step 5: Solve for x
    x = 102,838,554.65/11,730.35
  6. Step 6: Final answer
    x = 8,766.88

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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.