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Finding the Fourth Proportional to 11,538.89, 17,311.76 and 4,876.04

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Solution

The fourth proportional to 11,538.89, 17,311.76 and 4,876.04 is: 7,315.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.89 : 17,311.76 = 4,876.04 : x
  2. Step 2: Convert to fraction form
    11,538.89/17,311.76 = 4,876.04/x
  3. Step 3: Cross multiply
    11,538.89x = 17,311.76 × 4,876.04
  4. Step 4: Simplify right side
    11,538.89x = 84,412,723.29
  5. Step 5: Solve for x
    x = 84,412,723.29/11,538.89
  6. Step 6: Final answer
    x = 7,315.50

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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.