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Finding the Fourth Proportional to 11,804.70, 16,290.59 and 6,499.61

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Solution

The fourth proportional to 11,804.70, 16,290.59 and 6,499.61 is: 8,969.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.70 : 16,290.59 = 6,499.61 : x
  2. Step 2: Convert to fraction form
    11,804.70/16,290.59 = 6,499.61/x
  3. Step 3: Cross multiply
    11,804.70x = 16,290.59 × 6,499.61
  4. Step 4: Simplify right side
    11,804.70x = 105,882,367.72
  5. Step 5: Solve for x
    x = 105,882,367.72/11,804.70
  6. Step 6: Final answer
    x = 8,969.51

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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.