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Finding the Fourth Proportional to 11,638.49, 16,066.55 and 7,449.17

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Solution

The fourth proportional to 11,638.49, 16,066.55 and 7,449.17 is: 10,283.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.49 : 16,066.55 = 7,449.17 : x
  2. Step 2: Convert to fraction form
    11,638.49/16,066.55 = 7,449.17/x
  3. Step 3: Cross multiply
    11,638.49x = 16,066.55 × 7,449.17
  4. Step 4: Simplify right side
    11,638.49x = 119,682,400.55
  5. Step 5: Solve for x
    x = 119,682,400.55/11,638.49
  6. Step 6: Final answer
    x = 10,283.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.