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Finding the Fourth Proportional to 7,468.70, 11,201.36 and 2,202.58

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Solution

The fourth proportional to 7,468.70, 11,201.36 and 2,202.58 is: 3,303.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.70 : 11,201.36 = 2,202.58 : x
  2. Step 2: Convert to fraction form
    7,468.70/11,201.36 = 2,202.58/x
  3. Step 3: Cross multiply
    7,468.70x = 11,201.36 × 2,202.58
  4. Step 4: Simplify right side
    7,468.70x = 24,671,841.01
  5. Step 5: Solve for x
    x = 24,671,841.01/7,468.70
  6. Step 6: Final answer
    x = 3,303.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.