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Finding the Fourth Proportional to 11,729.00, 16,185.83 and 6,423.81

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Solution

The fourth proportional to 11,729.00, 16,185.83 and 6,423.81 is: 8,864.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,729.00 : 16,185.83 = 6,423.81 : x
  2. Step 2: Convert to fraction form
    11,729.00/16,185.83 = 6,423.81/x
  3. Step 3: Cross multiply
    11,729.00x = 16,185.83 × 6,423.81
  4. Step 4: Simplify right side
    11,729.00x = 103,974,603.80
  5. Step 5: Solve for x
    x = 103,974,603.80/11,729.00
  6. Step 6: Final answer
    x = 8,864.74

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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.