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Finding the Fourth Proportional to 11,664.58, 16,097.07 and 6,359.35

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Solution

The fourth proportional to 11,664.58, 16,097.07 and 6,359.35 is: 8,775.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664.58 : 16,097.07 = 6,359.35 : x
  2. Step 2: Convert to fraction form
    11,664.58/16,097.07 = 6,359.35/x
  3. Step 3: Cross multiply
    11,664.58x = 16,097.07 × 6,359.35
  4. Step 4: Simplify right side
    11,664.58x = 102,366,902.10
  5. Step 5: Solve for x
    x = 102,366,902.10/11,664.58
  6. Step 6: Final answer
    x = 8,775.88

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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.