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Finding the Fourth Proportional to 7,633.17, 11,449.21 and 2,368.05

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Solution

The fourth proportional to 7,633.17, 11,449.21 and 2,368.05 is: 3,551.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.17 : 11,449.21 = 2,368.05 : x
  2. Step 2: Convert to fraction form
    7,633.17/11,449.21 = 2,368.05/x
  3. Step 3: Cross multiply
    7,633.17x = 11,449.21 × 2,368.05
  4. Step 4: Simplify right side
    7,633.17x = 27,112,238.57
  5. Step 5: Solve for x
    x = 27,112,238.57/7,633.17
  6. Step 6: Final answer
    x = 3,551.90

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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.