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Finding the Fourth Proportional to 7,953.84, 11,932.74 and 2,759.58

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Solution

The fourth proportional to 7,953.84, 11,932.74 and 2,759.58 is: 4,140.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,953.84 : 11,932.74 = 2,759.58 : x
  2. Step 2: Convert to fraction form
    7,953.84/11,932.74 = 2,759.58/x
  3. Step 3: Cross multiply
    7,953.84x = 11,932.74 × 2,759.58
  4. Step 4: Simplify right side
    7,953.84x = 32,929,350.65
  5. Step 5: Solve for x
    x = 32,929,350.65/7,953.84
  6. Step 6: Final answer
    x = 4,140.06

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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.