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Finding the Fourth Proportional to 11,471.03, 17,213.84 and 4,897.27

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Solution

The fourth proportional to 11,471.03, 17,213.84 and 4,897.27 is: 7,349.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.03 : 17,213.84 = 4,897.27 : x
  2. Step 2: Convert to fraction form
    11,471.03/17,213.84 = 4,897.27/x
  3. Step 3: Cross multiply
    11,471.03x = 17,213.84 × 4,897.27
  4. Step 4: Simplify right side
    11,471.03x = 84,300,822.22
  5. Step 5: Solve for x
    x = 84,300,822.22/11,471.03
  6. Step 6: Final answer
    x = 7,349.02

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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.