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Finding the Fourth Proportional to 7,871.50, 10,861.72 and 4,514.14

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Solution

The fourth proportional to 7,871.50, 10,861.72 and 4,514.14 is: 6,228.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.50 : 10,861.72 = 4,514.14 : x
  2. Step 2: Convert to fraction form
    7,871.50/10,861.72 = 4,514.14/x
  3. Step 3: Cross multiply
    7,871.50x = 10,861.72 × 4,514.14
  4. Step 4: Simplify right side
    7,871.50x = 49,031,324.72
  5. Step 5: Solve for x
    x = 49,031,324.72/7,871.50
  6. Step 6: Final answer
    x = 6,228.97

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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.