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Finding the Fourth Proportional to 11,948.76, 17,923.06 and 4,157.50

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Solution

The fourth proportional to 11,948.76, 17,923.06 and 4,157.50 is: 6,236.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,948.76 : 17,923.06 = 4,157.50 : x
  2. Step 2: Convert to fraction form
    11,948.76/17,923.06 = 4,157.50/x
  3. Step 3: Cross multiply
    11,948.76x = 17,923.06 × 4,157.50
  4. Step 4: Simplify right side
    11,948.76x = 74,515,121.95
  5. Step 5: Solve for x
    x = 74,515,121.95/11,948.76
  6. Step 6: Final answer
    x = 6,236.22

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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.