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Finding the Fourth Proportional to 8,193.70, 11,298.38 and 5,536.50

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Solution

The fourth proportional to 8,193.70, 11,298.38 and 5,536.50 is: 7,634.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.70 : 11,298.38 = 5,536.50 : x
  2. Step 2: Convert to fraction form
    8,193.70/11,298.38 = 5,536.50/x
  3. Step 3: Cross multiply
    8,193.70x = 11,298.38 × 5,536.50
  4. Step 4: Simplify right side
    8,193.70x = 62,553,480.87
  5. Step 5: Solve for x
    x = 62,553,480.87/8,193.70
  6. Step 6: Final answer
    x = 7,634.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.