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Finding the Fourth Proportional to 11,833.76, 17,750.64 and 4,042.64

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Solution

The fourth proportional to 11,833.76, 17,750.64 and 4,042.64 is: 6,063.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.76 : 17,750.64 = 4,042.64 : x
  2. Step 2: Convert to fraction form
    11,833.76/17,750.64 = 4,042.64/x
  3. Step 3: Cross multiply
    11,833.76x = 17,750.64 × 4,042.64
  4. Step 4: Simplify right side
    11,833.76x = 71,759,447.29
  5. Step 5: Solve for x
    x = 71,759,447.29/11,833.76
  6. Step 6: Final answer
    x = 6,063.96

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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.