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Finding the Fourth Proportional to 7,295.82, 10,943.97 and 2,365.50

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Solution

The fourth proportional to 7,295.82, 10,943.97 and 2,365.50 is: 3,548.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,295.82 : 10,943.97 = 2,365.50 : x
  2. Step 2: Convert to fraction form
    7,295.82/10,943.97 = 2,365.50/x
  3. Step 3: Cross multiply
    7,295.82x = 10,943.97 × 2,365.50
  4. Step 4: Simplify right side
    7,295.82x = 25,887,961.04
  5. Step 5: Solve for x
    x = 25,887,961.04/7,295.82
  6. Step 6: Final answer
    x = 3,548.33

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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.