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Finding the Fourth Proportional to 11,914.95, 16,444.60 and 6,611.48

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Solution

The fourth proportional to 11,914.95, 16,444.60 and 6,611.48 is: 9,124.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.95 : 16,444.60 = 6,611.48 : x
  2. Step 2: Convert to fraction form
    11,914.95/16,444.60 = 6,611.48/x
  3. Step 3: Cross multiply
    11,914.95x = 16,444.60 × 6,611.48
  4. Step 4: Simplify right side
    11,914.95x = 108,723,144.01
  5. Step 5: Solve for x
    x = 108,723,144.01/11,914.95
  6. Step 6: Final answer
    x = 9,124.93

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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.