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Finding the Fourth Proportional to 7,600.84, 11,385.97 and 3,646.62

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Solution

The fourth proportional to 7,600.84, 11,385.97 and 3,646.62 is: 5,462.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,600.84 : 11,385.97 = 3,646.62 : x
  2. Step 2: Convert to fraction form
    7,600.84/11,385.97 = 3,646.62/x
  3. Step 3: Cross multiply
    7,600.84x = 11,385.97 × 3,646.62
  4. Step 4: Simplify right side
    7,600.84x = 41,520,296.80
  5. Step 5: Solve for x
    x = 41,520,296.80/7,600.84
  6. Step 6: Final answer
    x = 5,462.59

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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.