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Finding the Fourth Proportional to 7,735.59, 11,605.37 and 3,578.58

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Solution

The fourth proportional to 7,735.59, 11,605.37 and 3,578.58 is: 5,368.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.59 : 11,605.37 = 3,578.58 : x
  2. Step 2: Convert to fraction form
    7,735.59/11,605.37 = 3,578.58/x
  3. Step 3: Cross multiply
    7,735.59x = 11,605.37 × 3,578.58
  4. Step 4: Simplify right side
    7,735.59x = 41,530,727.08
  5. Step 5: Solve for x
    x = 41,530,727.08/7,735.59
  6. Step 6: Final answer
    x = 5,368.79

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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.