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Finding the Fourth Proportional to 11,605.65, 16,015.82 and 6,300.47

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Solution

The fourth proportional to 11,605.65, 16,015.82 and 6,300.47 is: 8,694.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.65 : 16,015.82 = 6,300.47 : x
  2. Step 2: Convert to fraction form
    11,605.65/16,015.82 = 6,300.47/x
  3. Step 3: Cross multiply
    11,605.65x = 16,015.82 × 6,300.47
  4. Step 4: Simplify right side
    11,605.65x = 100,907,081.85
  5. Step 5: Solve for x
    x = 100,907,081.85/11,605.65
  6. Step 6: Final answer
    x = 8,694.65

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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.