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Finding the Fourth Proportional to 11,951.76, 17,924.84 and 4,924.82

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Solution

The fourth proportional to 11,951.76, 17,924.84 and 4,924.82 is: 7,386.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,951.76 : 17,924.84 = 4,924.82 : x
  2. Step 2: Convert to fraction form
    11,951.76/17,924.84 = 4,924.82/x
  3. Step 3: Cross multiply
    11,951.76x = 17,924.84 × 4,924.82
  4. Step 4: Simplify right side
    11,951.76x = 88,276,610.53
  5. Step 5: Solve for x
    x = 88,276,610.53/11,951.76
  6. Step 6: Final answer
    x = 7,386.08

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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.