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Finding the Fourth Proportional to 10,705.17, 14,772.74 and 5,989.49

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Solution

The fourth proportional to 10,705.17, 14,772.74 and 5,989.49 is: 8,265.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.17 : 14,772.74 = 5,989.49 : x
  2. Step 2: Convert to fraction form
    10,705.17/14,772.74 = 5,989.49/x
  3. Step 3: Cross multiply
    10,705.17x = 14,772.74 × 5,989.49
  4. Step 4: Simplify right side
    10,705.17x = 88,481,074.69
  5. Step 5: Solve for x
    x = 88,481,074.69/10,705.17
  6. Step 6: Final answer
    x = 8,265.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.