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Finding the Fourth Proportional to 7,633.84, 11,452.40 and 2,368.74

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Solution

The fourth proportional to 7,633.84, 11,452.40 and 2,368.74 is: 3,553.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.84 : 11,452.40 = 2,368.74 : x
  2. Step 2: Convert to fraction form
    7,633.84/11,452.40 = 2,368.74/x
  3. Step 3: Cross multiply
    7,633.84x = 11,452.40 × 2,368.74
  4. Step 4: Simplify right side
    7,633.84x = 27,127,757.98
  5. Step 5: Solve for x
    x = 27,127,757.98/7,633.84
  6. Step 6: Final answer
    x = 3,553.62

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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.