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Finding the Fourth Proportional to 11,374.56, 17,064.92 and 3,476.86

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Solution

The fourth proportional to 11,374.56, 17,064.92 and 3,476.86 is: 5,216.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,374.56 : 17,064.92 = 3,476.86 : x
  2. Step 2: Convert to fraction form
    11,374.56/17,064.92 = 3,476.86/x
  3. Step 3: Cross multiply
    11,374.56x = 17,064.92 × 3,476.86
  4. Step 4: Simplify right side
    11,374.56x = 59,332,337.75
  5. Step 5: Solve for x
    x = 59,332,337.75/11,374.56
  6. Step 6: Final answer
    x = 5,216.23

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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.