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Finding the Fourth Proportional to 11,471.78, 17,214.97 and 4,898.02

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Solution

The fourth proportional to 11,471.78, 17,214.97 and 4,898.02 is: 7,350.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.78 : 17,214.97 = 4,898.02 : x
  2. Step 2: Convert to fraction form
    11,471.78/17,214.97 = 4,898.02/x
  3. Step 3: Cross multiply
    11,471.78x = 17,214.97 × 4,898.02
  4. Step 4: Simplify right side
    11,471.78x = 84,319,267.36
  5. Step 5: Solve for x
    x = 84,319,267.36/11,471.78
  6. Step 6: Final answer
    x = 7,350.15

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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.