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Finding the Fourth Proportional to 10,927.68, 16,374.92 and 8,007.92

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Solution

The fourth proportional to 10,927.68, 16,374.92 and 8,007.92 is: 11,999.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,927.68 : 16,374.92 = 8,007.92 : x
  2. Step 2: Convert to fraction form
    10,927.68/16,374.92 = 8,007.92/x
  3. Step 3: Cross multiply
    10,927.68x = 16,374.92 × 8,007.92
  4. Step 4: Simplify right side
    10,927.68x = 131,129,049.37
  5. Step 5: Solve for x
    x = 131,129,049.37/10,927.68
  6. Step 6: Final answer
    x = 11,999.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.