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Finding the Fourth Proportional to 11,664.71, 16,097.46 and 6,359.52

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Solution

The fourth proportional to 11,664.71, 16,097.46 and 6,359.52 is: 8,776.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664.71 : 16,097.46 = 6,359.52 : x
  2. Step 2: Convert to fraction form
    11,664.71/16,097.46 = 6,359.52/x
  3. Step 3: Cross multiply
    11,664.71x = 16,097.46 × 6,359.52
  4. Step 4: Simplify right side
    11,664.71x = 102,372,087.02
  5. Step 5: Solve for x
    x = 102,372,087.02/11,664.71
  6. Step 6: Final answer
    x = 8,776.23

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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.