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Finding the Fourth Proportional to 7,396.58, 10,193.24 and 5,297.06

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Solution

The fourth proportional to 7,396.58, 10,193.24 and 5,297.06 is: 7,299.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,396.58 : 10,193.24 = 5,297.06 : x
  2. Step 2: Convert to fraction form
    7,396.58/10,193.24 = 5,297.06/x
  3. Step 3: Cross multiply
    7,396.58x = 10,193.24 × 5,297.06
  4. Step 4: Simplify right side
    7,396.58x = 53,994,203.87
  5. Step 5: Solve for x
    x = 53,994,203.87/7,396.58
  6. Step 6: Final answer
    x = 7,299.89

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