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Finding the Fourth Proportional to 11,998.46, 16,557.90 and 6,693.14

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Solution

The fourth proportional to 11,998.46, 16,557.90 and 6,693.14 is: 9,236.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,998.46 : 16,557.90 = 6,693.14 : x
  2. Step 2: Convert to fraction form
    11,998.46/16,557.90 = 6,693.14/x
  3. Step 3: Cross multiply
    11,998.46x = 16,557.90 × 6,693.14
  4. Step 4: Simplify right side
    11,998.46x = 110,824,342.81
  5. Step 5: Solve for x
    x = 110,824,342.81/11,998.46
  6. Step 6: Final answer
    x = 9,236.55

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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.