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Finding the Fourth Proportional to 6,965.86, 10,446.72 and 2,034.18

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Solution

The fourth proportional to 6,965.86, 10,446.72 and 2,034.18 is: 3,050.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.86 : 10,446.72 = 2,034.18 : x
  2. Step 2: Convert to fraction form
    6,965.86/10,446.72 = 2,034.18/x
  3. Step 3: Cross multiply
    6,965.86x = 10,446.72 × 2,034.18
  4. Step 4: Simplify right side
    6,965.86x = 21,250,508.89
  5. Step 5: Solve for x
    x = 21,250,508.89/6,965.86
  6. Step 6: Final answer
    x = 3,050.67

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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.