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Finding the Fourth Proportional to 7,580.35, 11,372.06 and 3,197.80

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Solution

The fourth proportional to 7,580.35, 11,372.06 and 3,197.80 is: 4,797.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.35 : 11,372.06 = 3,197.80 : x
  2. Step 2: Convert to fraction form
    7,580.35/11,372.06 = 3,197.80/x
  3. Step 3: Cross multiply
    7,580.35x = 11,372.06 × 3,197.80
  4. Step 4: Simplify right side
    7,580.35x = 36,365,573.47
  5. Step 5: Solve for x
    x = 36,365,573.47/7,580.35
  6. Step 6: Final answer
    x = 4,797.35

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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.