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Finding the Fourth Proportional to 6,744.63, 10,118.31 and 2,365.17

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Solution

The fourth proportional to 6,744.63, 10,118.31 and 2,365.17 is: 3,548.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.63 : 10,118.31 = 2,365.17 : x
  2. Step 2: Convert to fraction form
    6,744.63/10,118.31 = 2,365.17/x
  3. Step 3: Cross multiply
    6,744.63x = 10,118.31 × 2,365.17
  4. Step 4: Simplify right side
    6,744.63x = 23,931,523.26
  5. Step 5: Solve for x
    x = 23,931,523.26/6,744.63
  6. Step 6: Final answer
    x = 3,548.23

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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.