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Finding the Fourth Proportional to 6,864.66, 10,292.49 and 2,705.22

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Solution

The fourth proportional to 6,864.66, 10,292.49 and 2,705.22 is: 4,056.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.66 : 10,292.49 = 2,705.22 : x
  2. Step 2: Convert to fraction form
    6,864.66/10,292.49 = 2,705.22/x
  3. Step 3: Cross multiply
    6,864.66x = 10,292.49 × 2,705.22
  4. Step 4: Simplify right side
    6,864.66x = 27,843,449.80
  5. Step 5: Solve for x
    x = 27,843,449.80/6,864.66
  6. Step 6: Final answer
    x = 4,056.06

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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.