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Finding the Fourth Proportional to 11,998.52, 16,558.14 and 6,693.86

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Solution

The fourth proportional to 11,998.52, 16,558.14 and 6,693.86 is: 9,237.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,998.52 : 16,558.14 = 6,693.86 : x
  2. Step 2: Convert to fraction form
    11,998.52/16,558.14 = 6,693.86/x
  3. Step 3: Cross multiply
    11,998.52x = 16,558.14 × 6,693.86
  4. Step 4: Simplify right side
    11,998.52x = 110,837,871.02
  5. Step 5: Solve for x
    x = 110,837,871.02/11,998.52
  6. Step 6: Final answer
    x = 9,237.63

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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.