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Finding the Fourth Proportional to 7,109.82, 9,808.44 and 4,275.56

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Solution

The fourth proportional to 7,109.82, 9,808.44 and 4,275.56 is: 5,898.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.82 : 9,808.44 = 4,275.56 : x
  2. Step 2: Convert to fraction form
    7,109.82/9,808.44 = 4,275.56/x
  3. Step 3: Cross multiply
    7,109.82x = 9,808.44 × 4,275.56
  4. Step 4: Simplify right side
    7,109.82x = 41,936,524.68
  5. Step 5: Solve for x
    x = 41,936,524.68/7,109.82
  6. Step 6: Final answer
    x = 5,898.39

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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.