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Finding the Fourth Proportional to 7,871.38, 10,861.60 and 4,514.04

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Solution

The fourth proportional to 7,871.38, 10,861.60 and 4,514.04 is: 6,228.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.38 : 10,861.60 = 4,514.04 : x
  2. Step 2: Convert to fraction form
    7,871.38/10,861.60 = 4,514.04/x
  3. Step 3: Cross multiply
    7,871.38x = 10,861.60 × 4,514.04
  4. Step 4: Simplify right side
    7,871.38x = 49,029,696.86
  5. Step 5: Solve for x
    x = 49,029,696.86/7,871.38
  6. Step 6: Final answer
    x = 6,228.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.