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Finding the Fourth Proportional to 11,805.57, 16,291.35 and 6,499.65

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Solution

The fourth proportional to 11,805.57, 16,291.35 and 6,499.65 is: 8,969.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.57 : 16,291.35 = 6,499.65 : x
  2. Step 2: Convert to fraction form
    11,805.57/16,291.35 = 6,499.65/x
  3. Step 3: Cross multiply
    11,805.57x = 16,291.35 × 6,499.65
  4. Step 4: Simplify right side
    11,805.57x = 105,888,073.03
  5. Step 5: Solve for x
    x = 105,888,073.03/11,805.57
  6. Step 6: Final answer
    x = 8,969.33

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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.