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Finding the Fourth Proportional to 6,744.61, 10,116.60 and 2,363.05

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Solution

The fourth proportional to 6,744.61, 10,116.60 and 2,363.05 is: 3,544.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.61 : 10,116.60 = 2,363.05 : x
  2. Step 2: Convert to fraction form
    6,744.61/10,116.60 = 2,363.05/x
  3. Step 3: Cross multiply
    6,744.61x = 10,116.60 × 2,363.05
  4. Step 4: Simplify right side
    6,744.61x = 23,906,031.63
  5. Step 5: Solve for x
    x = 23,906,031.63/6,744.61
  6. Step 6: Final answer
    x = 3,544.46

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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.