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Finding the Fourth Proportional to 7,661.49, 11,494.71 and 3,763.16

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Solution

The fourth proportional to 7,661.49, 11,494.71 and 3,763.16 is: 5,645.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.49 : 11,494.71 = 3,763.16 : x
  2. Step 2: Convert to fraction form
    7,661.49/11,494.71 = 3,763.16/x
  3. Step 3: Cross multiply
    7,661.49x = 11,494.71 × 3,763.16
  4. Step 4: Simplify right side
    7,661.49x = 43,256,461.62
  5. Step 5: Solve for x
    x = 43,256,461.62/7,661.49
  6. Step 6: Final answer
    x = 5,645.96

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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.