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Finding the Fourth Proportional to 7,441.12, 11,158.44 and 2,509.44

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Solution

The fourth proportional to 7,441.12, 11,158.44 and 2,509.44 is: 3,763.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.12 : 11,158.44 = 2,509.44 : x
  2. Step 2: Convert to fraction form
    7,441.12/11,158.44 = 2,509.44/x
  3. Step 3: Cross multiply
    7,441.12x = 11,158.44 × 2,509.44
  4. Step 4: Simplify right side
    7,441.12x = 28,001,435.67
  5. Step 5: Solve for x
    x = 28,001,435.67/7,441.12
  6. Step 6: Final answer
    x = 3,763.07

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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.