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Finding the Fourth Proportional to 7,585.64, 11,380.06 and 3,692.24

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Solution

The fourth proportional to 7,585.64, 11,380.06 and 3,692.24 is: 5,539.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.64 : 11,380.06 = 3,692.24 : x
  2. Step 2: Convert to fraction form
    7,585.64/11,380.06 = 3,692.24/x
  3. Step 3: Cross multiply
    7,585.64x = 11,380.06 × 3,692.24
  4. Step 4: Simplify right side
    7,585.64x = 42,017,912.73
  5. Step 5: Solve for x
    x = 42,017,912.73/7,585.64
  6. Step 6: Final answer
    x = 5,539.14

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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.