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Finding the Fourth Proportional to 11,604.92, 16,014.80 and 6,299.74

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Solution

The fourth proportional to 11,604.92, 16,014.80 and 6,299.74 is: 8,693.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.92 : 16,014.80 = 6,299.74 : x
  2. Step 2: Convert to fraction form
    11,604.92/16,014.80 = 6,299.74/x
  3. Step 3: Cross multiply
    11,604.92x = 16,014.80 × 6,299.74
  4. Step 4: Simplify right side
    11,604.92x = 100,889,051.86
  5. Step 5: Solve for x
    x = 100,889,051.86/11,604.92
  6. Step 6: Final answer
    x = 8,693.64

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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.