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Finding the Fourth Proportional to 10,181.76, 14,052.48 and 6,093.30

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Solution

The fourth proportional to 10,181.76, 14,052.48 and 6,093.30 is: 8,409.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181.76 : 14,052.48 = 6,093.30 : x
  2. Step 2: Convert to fraction form
    10,181.76/14,052.48 = 6,093.30/x
  3. Step 3: Cross multiply
    10,181.76x = 14,052.48 × 6,093.30
  4. Step 4: Simplify right side
    10,181.76x = 85,625,976.38
  5. Step 5: Solve for x
    x = 85,625,976.38/10,181.76
  6. Step 6: Final answer
    x = 8,409.74

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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.