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Finding the Fourth Proportional to 11,531.88, 17,295.84 and 3,740.76

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Solution

The fourth proportional to 11,531.88, 17,295.84 and 3,740.76 is: 5,610.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,531.88 : 17,295.84 = 3,740.76 : x
  2. Step 2: Convert to fraction form
    11,531.88/17,295.84 = 3,740.76/x
  3. Step 3: Cross multiply
    11,531.88x = 17,295.84 × 3,740.76
  4. Step 4: Simplify right side
    11,531.88x = 64,699,586.44
  5. Step 5: Solve for x
    x = 64,699,586.44/11,531.88
  6. Step 6: Final answer
    x = 5,610.50

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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.