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Finding the Fourth Proportional to 7,545.34, 11,312.34 and 3,845.80

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Solution

The fourth proportional to 7,545.34, 11,312.34 and 3,845.80 is: 5,765.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,545.34 : 11,312.34 = 3,845.80 : x
  2. Step 2: Convert to fraction form
    7,545.34/11,312.34 = 3,845.80/x
  3. Step 3: Cross multiply
    7,545.34x = 11,312.34 × 3,845.80
  4. Step 4: Simplify right side
    7,545.34x = 43,504,997.17
  5. Step 5: Solve for x
    x = 43,504,997.17/7,545.34
  6. Step 6: Final answer
    x = 5,765.81

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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.