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Finding the Fourth Proportional to 10,111.14, 13,951.02 and 6,131.46

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Solution

The fourth proportional to 10,111.14, 13,951.02 and 6,131.46 is: 8,459.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,111.14 : 13,951.02 = 6,131.46 : x
  2. Step 2: Convert to fraction form
    10,111.14/13,951.02 = 6,131.46/x
  3. Step 3: Cross multiply
    10,111.14x = 13,951.02 × 6,131.46
  4. Step 4: Simplify right side
    10,111.14x = 85,540,121.09
  5. Step 5: Solve for x
    x = 85,540,121.09/10,111.14
  6. Step 6: Final answer
    x = 8,459.99

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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.