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Finding the Fourth Proportional to 11,998.34, 16,558.85 and 6,693.65

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Solution

The fourth proportional to 11,998.34, 16,558.85 and 6,693.65 is: 9,237.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,998.34 : 16,558.85 = 6,693.65 : x
  2. Step 2: Convert to fraction form
    11,998.34/16,558.85 = 6,693.65/x
  3. Step 3: Cross multiply
    11,998.34x = 16,558.85 × 6,693.65
  4. Step 4: Simplify right side
    11,998.34x = 110,839,080.24
  5. Step 5: Solve for x
    x = 110,839,080.24/11,998.34
  6. Step 6: Final answer
    x = 9,237.87

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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.