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Finding the Fourth Proportional to 7,638.99, 11,458.77 and 3,253.44

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Solution

The fourth proportional to 7,638.99, 11,458.77 and 3,253.44 is: 4,880.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.99 : 11,458.77 = 3,253.44 : x
  2. Step 2: Convert to fraction form
    7,638.99/11,458.77 = 3,253.44/x
  3. Step 3: Cross multiply
    7,638.99x = 11,458.77 × 3,253.44
  4. Step 4: Simplify right side
    7,638.99x = 37,280,420.67
  5. Step 5: Solve for x
    x = 37,280,420.67/7,638.99
  6. Step 6: Final answer
    x = 4,880.28

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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.