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Finding the Fourth Proportional to 11,664.36, 16,097.04 and 6,359.40

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Solution

The fourth proportional to 11,664.36, 16,097.04 and 6,359.40 is: 8,776.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664.36 : 16,097.04 = 6,359.40 : x
  2. Step 2: Convert to fraction form
    11,664.36/16,097.04 = 6,359.40/x
  3. Step 3: Cross multiply
    11,664.36x = 16,097.04 × 6,359.40
  4. Step 4: Simplify right side
    11,664.36x = 102,367,516.18
  5. Step 5: Solve for x
    x = 102,367,516.18/11,664.36
  6. Step 6: Final answer
    x = 8,776.09

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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.