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Finding the Fourth Proportional to 7,629.41, 11,441.04 and 2,363.18

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Solution

The fourth proportional to 7,629.41, 11,441.04 and 2,363.18 is: 3,543.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,629.41 : 11,441.04 = 2,363.18 : x
  2. Step 2: Convert to fraction form
    7,629.41/11,441.04 = 2,363.18/x
  3. Step 3: Cross multiply
    7,629.41x = 11,441.04 × 2,363.18
  4. Step 4: Simplify right side
    7,629.41x = 27,037,236.91
  5. Step 5: Solve for x
    x = 27,037,236.91/7,629.41
  6. Step 6: Final answer
    x = 3,543.82

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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.