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Finding the Fourth Proportional to 7,464.10, 11,203.49 and 5,692.63

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Solution

The fourth proportional to 7,464.10, 11,203.49 and 5,692.63 is: 8,544.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464.10 : 11,203.49 = 5,692.63 : x
  2. Step 2: Convert to fraction form
    7,464.10/11,203.49 = 5,692.63/x
  3. Step 3: Cross multiply
    7,464.10x = 11,203.49 × 5,692.63
  4. Step 4: Simplify right side
    7,464.10x = 63,777,323.28
  5. Step 5: Solve for x
    x = 63,777,323.28/7,464.10
  6. Step 6: Final answer
    x = 8,544.54

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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.