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Finding the Fourth Proportional to 7,463.47, 11,194.80 and 2,268.94

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Solution

The fourth proportional to 7,463.47, 11,194.80 and 2,268.94 is: 3,403.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463.47 : 11,194.80 = 2,268.94 : x
  2. Step 2: Convert to fraction form
    7,463.47/11,194.80 = 2,268.94/x
  3. Step 3: Cross multiply
    7,463.47x = 11,194.80 × 2,268.94
  4. Step 4: Simplify right side
    7,463.47x = 25,400,293.02
  5. Step 5: Solve for x
    x = 25,400,293.02/7,463.47
  6. Step 6: Final answer
    x = 3,403.28

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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.