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Finding the Fourth Proportional to 11,678.52, 16,115.86 and 6,642.03

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Solution

The fourth proportional to 11,678.52, 16,115.86 and 6,642.03 is: 9,165.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.52 : 16,115.86 = 6,642.03 : x
  2. Step 2: Convert to fraction form
    11,678.52/16,115.86 = 6,642.03/x
  3. Step 3: Cross multiply
    11,678.52x = 16,115.86 × 6,642.03
  4. Step 4: Simplify right side
    11,678.52x = 107,042,025.60
  5. Step 5: Solve for x
    x = 107,042,025.60/11,678.52
  6. Step 6: Final answer
    x = 9,165.72

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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.