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Finding the Fourth Proportional to 11,726.74, 17,573.50 and 4,323.75

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Solution

The fourth proportional to 11,726.74, 17,573.50 and 4,323.75 is: 6,479.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,726.74 : 17,573.50 = 4,323.75 : x
  2. Step 2: Convert to fraction form
    11,726.74/17,573.50 = 4,323.75/x
  3. Step 3: Cross multiply
    11,726.74x = 17,573.50 × 4,323.75
  4. Step 4: Simplify right side
    11,726.74x = 75,983,420.63
  5. Step 5: Solve for x
    x = 75,983,420.63/11,726.74
  6. Step 6: Final answer
    x = 6,479.50

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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.