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Finding the Fourth Proportional to 7,365.63, 11,033.66 and 3,656.64

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Solution

The fourth proportional to 7,365.63, 11,033.66 and 3,656.64 is: 5,477.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,365.63 : 11,033.66 = 3,656.64 : x
  2. Step 2: Convert to fraction form
    7,365.63/11,033.66 = 3,656.64/x
  3. Step 3: Cross multiply
    7,365.63x = 11,033.66 × 3,656.64
  4. Step 4: Simplify right side
    7,365.63x = 40,346,049.05
  5. Step 5: Solve for x
    x = 40,346,049.05/7,365.63
  6. Step 6: Final answer
    x = 5,477.61

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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.