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Finding the Fourth Proportional to 11,168.64, 16,741.98 and 4,143.48

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Solution

The fourth proportional to 11,168.64, 16,741.98 and 4,143.48 is: 6,211.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,168.64 : 16,741.98 = 4,143.48 : x
  2. Step 2: Convert to fraction form
    11,168.64/16,741.98 = 4,143.48/x
  3. Step 3: Cross multiply
    11,168.64x = 16,741.98 × 4,143.48
  4. Step 4: Simplify right side
    11,168.64x = 69,370,059.29
  5. Step 5: Solve for x
    x = 69,370,059.29/11,168.64
  6. Step 6: Final answer
    x = 6,211.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.