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Finding the Fourth Proportional to 7,530.80, 10,404.30 and 5,185.44

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Solution

The fourth proportional to 7,530.80, 10,404.30 and 5,185.44 is: 7,164.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,530.80 : 10,404.30 = 5,185.44 : x
  2. Step 2: Convert to fraction form
    7,530.80/10,404.30 = 5,185.44/x
  3. Step 3: Cross multiply
    7,530.80x = 10,404.30 × 5,185.44
  4. Step 4: Simplify right side
    7,530.80x = 53,950,873.39
  5. Step 5: Solve for x
    x = 53,950,873.39/7,530.80
  6. Step 6: Final answer
    x = 7,164.03

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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.