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Finding the Fourth Proportional to 7,884.03, 11,822.39 and 2,953.56

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Solution

The fourth proportional to 7,884.03, 11,822.39 and 2,953.56 is: 4,428.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.03 : 11,822.39 = 2,953.56 : x
  2. Step 2: Convert to fraction form
    7,884.03/11,822.39 = 2,953.56/x
  3. Step 3: Cross multiply
    7,884.03x = 11,822.39 × 2,953.56
  4. Step 4: Simplify right side
    7,884.03x = 34,918,123.44
  5. Step 5: Solve for x
    x = 34,918,123.44/7,884.03
  6. Step 6: Final answer
    x = 4,428.97

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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.