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Finding the Fourth Proportional to 11,611.16, 16,023.48 and 6,833.96

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Solution

The fourth proportional to 11,611.16, 16,023.48 and 6,833.96 is: 9,430.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.16 : 16,023.48 = 6,833.96 : x
  2. Step 2: Convert to fraction form
    11,611.16/16,023.48 = 6,833.96/x
  3. Step 3: Cross multiply
    11,611.16x = 16,023.48 × 6,833.96
  4. Step 4: Simplify right side
    11,611.16x = 109,503,821.38
  5. Step 5: Solve for x
    x = 109,503,821.38/11,611.16
  6. Step 6: Final answer
    x = 9,430.91

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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.