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Finding the Fourth Proportional to 7,202.54, 10,788.14 and 3,496.98

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Solution

The fourth proportional to 7,202.54, 10,788.14 and 3,496.98 is: 5,237.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.54 : 10,788.14 = 3,496.98 : x
  2. Step 2: Convert to fraction form
    7,202.54/10,788.14 = 3,496.98/x
  3. Step 3: Cross multiply
    7,202.54x = 10,788.14 × 3,496.98
  4. Step 4: Simplify right side
    7,202.54x = 37,725,909.82
  5. Step 5: Solve for x
    x = 37,725,909.82/7,202.54
  6. Step 6: Final answer
    x = 5,237.86

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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.