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Finding the Fourth Proportional to 6,885.38, 10,316.72 and 3,966.14

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Solution

The fourth proportional to 6,885.38, 10,316.72 and 3,966.14 is: 5,942.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885.38 : 10,316.72 = 3,966.14 : x
  2. Step 2: Convert to fraction form
    6,885.38/10,316.72 = 3,966.14/x
  3. Step 3: Cross multiply
    6,885.38x = 10,316.72 × 3,966.14
  4. Step 4: Simplify right side
    6,885.38x = 40,917,555.86
  5. Step 5: Solve for x
    x = 40,917,555.86/6,885.38
  6. Step 6: Final answer
    x = 5,942.67

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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.