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Finding the Fourth Proportional to 7,872.56, 11,805.30 and 2,323.95

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Solution

The fourth proportional to 7,872.56, 11,805.30 and 2,323.95 is: 3,484.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.56 : 11,805.30 = 2,323.95 : x
  2. Step 2: Convert to fraction form
    7,872.56/11,805.30 = 2,323.95/x
  3. Step 3: Cross multiply
    7,872.56x = 11,805.30 × 2,323.95
  4. Step 4: Simplify right side
    7,872.56x = 27,434,926.94
  5. Step 5: Solve for x
    x = 27,434,926.94/7,872.56
  6. Step 6: Final answer
    x = 3,484.88

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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.