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Finding the Fourth Proportional to 7,495.38, 11,243.26 and 2,564.98

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Solution

The fourth proportional to 7,495.38, 11,243.26 and 2,564.98 is: 3,847.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,495.38 : 11,243.26 = 2,564.98 : x
  2. Step 2: Convert to fraction form
    7,495.38/11,243.26 = 2,564.98/x
  3. Step 3: Cross multiply
    7,495.38x = 11,243.26 × 2,564.98
  4. Step 4: Simplify right side
    7,495.38x = 28,838,737.03
  5. Step 5: Solve for x
    x = 28,838,737.03/7,495.38
  6. Step 6: Final answer
    x = 3,847.54

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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.