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Finding the Fourth Proportional to 7,650.49, 11,468.90 and 3,699.54

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Solution

The fourth proportional to 7,650.49, 11,468.90 and 3,699.54 is: 5,546.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650.49 : 11,468.90 = 3,699.54 : x
  2. Step 2: Convert to fraction form
    7,650.49/11,468.90 = 3,699.54/x
  3. Step 3: Cross multiply
    7,650.49x = 11,468.90 × 3,699.54
  4. Step 4: Simplify right side
    7,650.49x = 42,429,654.31
  5. Step 5: Solve for x
    x = 42,429,654.31/7,650.49
  6. Step 6: Final answer
    x = 5,546.00

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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.