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Finding the Fourth Proportional to 12,112.15, 16,715.46 and 8,071.96

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Solution

The fourth proportional to 12,112.15, 16,715.46 and 8,071.96 is: 11,139.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,112.15 : 16,715.46 = 8,071.96 : x
  2. Step 2: Convert to fraction form
    12,112.15/16,715.46 = 8,071.96/x
  3. Step 3: Cross multiply
    12,112.15x = 16,715.46 × 8,071.96
  4. Step 4: Simplify right side
    12,112.15x = 134,926,484.14
  5. Step 5: Solve for x
    x = 134,926,484.14/12,112.15
  6. Step 6: Final answer
    x = 11,139.76

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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.