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Finding the Fourth Proportional to 6,705.45, 10,056.69 and 2,755.71

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Solution

The fourth proportional to 6,705.45, 10,056.69 and 2,755.71 is: 4,132.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.45 : 10,056.69 = 2,755.71 : x
  2. Step 2: Convert to fraction form
    6,705.45/10,056.69 = 2,755.71/x
  3. Step 3: Cross multiply
    6,705.45x = 10,056.69 × 2,755.71
  4. Step 4: Simplify right side
    6,705.45x = 27,713,321.20
  5. Step 5: Solve for x
    x = 27,713,321.20/6,705.45
  6. Step 6: Final answer
    x = 4,132.95

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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.