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Finding the Fourth Proportional to 11,806.16, 16,291.88 and 6,499.97

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Solution

The fourth proportional to 11,806.16, 16,291.88 and 6,499.97 is: 8,969.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.16 : 16,291.88 = 6,499.97 : x
  2. Step 2: Convert to fraction form
    11,806.16/16,291.88 = 6,499.97/x
  3. Step 3: Cross multiply
    11,806.16x = 16,291.88 × 6,499.97
  4. Step 4: Simplify right side
    11,806.16x = 105,896,649.78
  5. Step 5: Solve for x
    x = 105,896,649.78/11,806.16
  6. Step 6: Final answer
    x = 8,969.61

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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.