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Finding the Fourth Proportional to 11,948.68, 16,486.50 and 7,232.86

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Solution

The fourth proportional to 11,948.68, 16,486.50 and 7,232.86 is: 9,979.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,948.68 : 16,486.50 = 7,232.86 : x
  2. Step 2: Convert to fraction form
    11,948.68/16,486.50 = 7,232.86/x
  3. Step 3: Cross multiply
    11,948.68x = 16,486.50 × 7,232.86
  4. Step 4: Simplify right side
    11,948.68x = 119,244,546.39
  5. Step 5: Solve for x
    x = 119,244,546.39/11,948.68
  6. Step 6: Final answer
    x = 9,979.73

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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.