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Finding the Fourth Proportional to 11,833.42, 17,749.04 and 4,041.76

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Solution

The fourth proportional to 11,833.42, 17,749.04 and 4,041.76 is: 6,062.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.42 : 17,749.04 = 4,041.76 : x
  2. Step 2: Convert to fraction form
    11,833.42/17,749.04 = 4,041.76/x
  3. Step 3: Cross multiply
    11,833.42x = 17,749.04 × 4,041.76
  4. Step 4: Simplify right side
    11,833.42x = 71,737,359.91
  5. Step 5: Solve for x
    x = 71,737,359.91/11,833.42
  6. Step 6: Final answer
    x = 6,062.27

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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.